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LCM for 70 and 135

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 135?

Answer

LCM of 70 and 135 is 1,890

(One thousand, eight hundred ninety)

Finding LCM for 70 and 135 using GCF of these numbers

The first method to find LCM for numbers 70 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 135 is 5, so

LCM = (70 × 135) ÷ 5

LCM = 9450 ÷ 5

LCM = 1890

Finding LCM for 70 and 135 by Listing Multiples

The second method to find LCM for numbers 70 and 135 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030

Multiples of 135: 135, 270, 405, 540, 675, 810, 945, 1080, 1215, 1350, 1485, 1620, 1755, 1890, 2025, 2160

So the LCM for 70 and 135 is 1890

Finding LCM for 70 and 135 by Prime Factorization

Another method to find LCM for numbers 70 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)

All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)

21 × 51 × 71 × 33 = 1890

See Also

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What is the LCM of 70 and 135?. Find the LCM of 70 and 135 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
551351485
561357560
571352565
581357830
591357965
60135540
611358235
621358370
63135945
641358640
651351755
661352970
671359045
681359180
691353105
701351890
711359585
721351080
731359855
741359990
75135675
7613510260
7713510395
781353510
7913510665
801352160
81135405
8213511070
8313511205
841353780

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 70 and 135? (The answer is: 1890). Select the first number (e.g. '70') and the second number (e.g. '135'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 70 and 135?

LCM of 70 and 135 is 1,890

How to find the LCM of 70 and 135 using prime factorization?

To find the LCM of 70 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,890.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 70 and 135: LCM = 1,890, GCF = 5.