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What is the Least Common Multiple of 54712 and 54719?

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 54712 and 54719 is 427683704.

LCM(54712,54719) = 427683704

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Least Common Multiple of 54712 and 54719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54712 and 54719, than apply into the LCM equation.

GCF(54712,54719) = 7
LCM(54712,54719) = ( 54712 × 54719) / 7
LCM(54712,54719) = 2993785928 / 7
LCM(54712,54719) = 427683704

Least Common Multiple (LCM) of 54712 and 54719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54712 and 54719. First we will calculate the prime factors of 54712 and 54719.

Prime Factorization of 54712

Prime factors of 54712 are 2, 7, 977. Prime factorization of 54712 in exponential form is:

54712 = 23 × 71 × 9771

Prime Factorization of 54719

Prime factors of 54719 are 7, 7817. Prime factorization of 54719 in exponential form is:

54719 = 71 × 78171

Now multiplying the highest exponent prime factors to calculate the LCM of 54712 and 54719.

LCM(54712,54719) = 23 × 71 × 9771 × 78171
LCM(54712,54719) = 427683704