What is the Least Common Multiple of 60712 and 60727?
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 60712 and 60727 is 3686857624.
LCM(60712,60727) = 3686857624
Least Common Multiple of 60712 and 60727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60712 and 60727, than apply into the LCM equation.
GCF(60712,60727) = 1
LCM(60712,60727) = ( 60712 × 60727) / 1
LCM(60712,60727) = 3686857624 / 1
LCM(60712,60727) = 3686857624
Least Common Multiple (LCM) of 60712 and 60727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60712 and 60727. First we will calculate the prime factors of 60712 and 60727.
Prime Factorization of 60712
Prime factors of 60712 are 2, 7589. Prime factorization of 60712 in exponential form is:
60712 = 23 × 75891
Prime Factorization of 60727
Prime factors of 60727 are 60727. Prime factorization of 60727 in exponential form is:
60727 = 607271
Now multiplying the highest exponent prime factors to calculate the LCM of 60712 and 60727.
LCM(60712,60727) = 23 × 75891 × 607271
LCM(60712,60727) = 3686857624
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