LCM for 34 and 48
What's the Least Common Multiple (LCM) of 34 and 48?
(Eight hundred sixteen)
Finding LCM for 34 and 48 using GCF's of these numbers
The first method to find LCM for numbers 34 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 34 and 48 is 2, so
LCM = (34 × 48) ÷ 2
LCM = 1632 ÷ 2
LCM = 816
Finding LCM for 34 and 48 by Listing Multiples
The second method to find LCM for numbers 34 and 48 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884
Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912
So the LCM for 34 and 48 is 816
Finding LCM for 34 and 48 by Prime Factorization
Another method to find LCM for numbers 34 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)
24 × 171 × 31 = 816
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/34--48">What is the LCM of 34 and 48? - Calculatio</a>
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