LCM for 70 and 135
What's the Least Common Multiple (LCM) of 70 and 135?
Answer
(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
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

LCM Table
About "Least Common Multiple" Calculator
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