LCM for 105 and 140

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 105 and 140?

Answer: LCM of 105 and 140 is 420

(Four hundred twenty)

Finding LCM for 105 and 140 using GCF's of these numbers

The first method to find LCM for numbers 105 and 140 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 140 is 35, so

LCM = (105 × 140) ÷ 35

LCM = 14700 ÷ 35

LCM = 420

Finding LCM for 105 and 140 by Listing Multiples

The second method to find LCM for numbers 105 and 140 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 105: 105, 210, 315, 420, 525, 630

Multiples of 140: 140, 280, 420, 560, 700

So the LCM for 105 and 140 is 420

Finding LCM for 105 and 140 by Prime Factorization

Another method to find LCM for numbers 105 and 140 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

All Prime Factors of 140: 2, 2, 5, 7 (exponent form: 22, 51, 71)

31 × 51 × 71 × 22 = 420

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LCM Table

Number 1Number 2LCM
901401260
911401820
921403220
9314013020
941406580
951402660
961403360
9714013580
98140980
9914013860
100140700
10114014140
1021407140
10314014420
1041403640
105140420
1061407420
10714014980
1081403780
10914015260
1101401540
11114015540
112140560
11314015820
1141407980
1151403220
1161404060
11714016380
1181408260
1191402380

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 105 and 140? (The answer is: 420). Select the first number (e.g. '105') and the second number (e.g. '140'). 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 105 and 140?

LCM of 105 and 140 is 420

See Also