What is the Least Common Multiple of 6724 and 6728?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 6724 and 6728 is 11309768.
LCM(6724,6728) = 11309768
Least Common Multiple of 6724 and 6728 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6724 and 6728, than apply into the LCM equation.
GCF(6724,6728) = 4
LCM(6724,6728) = ( 6724 × 6728) / 4
LCM(6724,6728) = 45239072 / 4
LCM(6724,6728) = 11309768
Least Common Multiple (LCM) of 6724 and 6728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6724 and 6728. First we will calculate the prime factors of 6724 and 6728.
Prime Factorization of 6724
Prime factors of 6724 are 2, 41. Prime factorization of 6724 in exponential form is:
6724 = 22 × 412
Prime Factorization of 6728
Prime factors of 6728 are 2, 29. Prime factorization of 6728 in exponential form is:
6728 = 23 × 292
Now multiplying the highest exponent prime factors to calculate the LCM of 6724 and 6728.
LCM(6724,6728) = 23 × 412 × 292
LCM(6724,6728) = 11309768
Related Least Common Multiples of 6724
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Related Least Common Multiples of 6728
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- LCM of 6728 and 6733
- LCM of 6728 and 6734
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- LCM of 6728 and 6742
- LCM of 6728 and 6743
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