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What is the Least Common Multiple of 77056 and 77072?

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 77056 and 77072 is 371178752.

LCM(77056,77072) = 371178752

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Least Common Multiple of 77056 and 77072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77056 and 77072, than apply into the LCM equation.

GCF(77056,77072) = 16
LCM(77056,77072) = ( 77056 × 77072) / 16
LCM(77056,77072) = 5938860032 / 16
LCM(77056,77072) = 371178752

Least Common Multiple (LCM) of 77056 and 77072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77056 and 77072. First we will calculate the prime factors of 77056 and 77072.

Prime Factorization of 77056

Prime factors of 77056 are 2, 7, 43. Prime factorization of 77056 in exponential form is:

77056 = 28 × 71 × 431

Prime Factorization of 77072

Prime factors of 77072 are 2, 4817. Prime factorization of 77072 in exponential form is:

77072 = 24 × 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 77056 and 77072.

LCM(77056,77072) = 28 × 71 × 431 × 48171
LCM(77056,77072) = 371178752