What is the Least Common Multiple of 54676 and 54692?
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 54676 and 54692 is 747584948.
LCM(54676,54692) = 747584948
Least Common Multiple of 54676 and 54692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54676 and 54692, than apply into the LCM equation.
GCF(54676,54692) = 4
LCM(54676,54692) = ( 54676 × 54692) / 4
LCM(54676,54692) = 2990339792 / 4
LCM(54676,54692) = 747584948
Least Common Multiple (LCM) of 54676 and 54692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54676 and 54692. First we will calculate the prime factors of 54676 and 54692.
Prime Factorization of 54676
Prime factors of 54676 are 2, 13669. Prime factorization of 54676 in exponential form is:
54676 = 22 × 136691
Prime Factorization of 54692
Prime factors of 54692 are 2, 11, 113. Prime factorization of 54692 in exponential form is:
54692 = 22 × 112 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 54676 and 54692.
LCM(54676,54692) = 22 × 136691 × 112 × 1131
LCM(54676,54692) = 747584948
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