What is the Least Common Multiple of 6713 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 6713 and 6728 is 45165064.
LCM(6713,6728) = 45165064
Least Common Multiple of 6713 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 6713 and 6728, than apply into the LCM equation.
GCF(6713,6728) = 1
LCM(6713,6728) = ( 6713 × 6728) / 1
LCM(6713,6728) = 45165064 / 1
LCM(6713,6728) = 45165064
Least Common Multiple (LCM) of 6713 and 6728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6713 and 6728. First we will calculate the prime factors of 6713 and 6728.
Prime Factorization of 6713
Prime factors of 6713 are 7, 137. Prime factorization of 6713 in exponential form is:
6713 = 72 × 1371
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 6713 and 6728.
LCM(6713,6728) = 72 × 1371 × 23 × 292
LCM(6713,6728) = 45165064
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