LCM for 14 and 34
What's the Least Common Multiple (LCM) of 14 and 34?
(Two hundred thirty-eight)
Finding LCM for 14 and 34 using GCF's of these numbers
The first method to find LCM for numbers 14 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 14 and 34 is 2, so
LCM = (14 × 34) ÷ 2
LCM = 476 ÷ 2
LCM = 238
Finding LCM for 14 and 34 by Listing Multiples
The second method to find LCM for numbers 14 and 34 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266
Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306
So the LCM for 14 and 34 is 238
Finding LCM for 14 and 34 by Prime Factorization
Another method to find LCM for numbers 14 and 34 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 14: 2, 7 (exponent form: 21, 71)
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
21 × 71 × 171 = 238
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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