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What is the Least Common Multiple of 77212 and 77231?

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 77212 and 77231 is 5963159972.

LCM(77212,77231) = 5963159972

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Least Common Multiple of 77212 and 77231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77212 and 77231, than apply into the LCM equation.

GCF(77212,77231) = 1
LCM(77212,77231) = ( 77212 × 77231) / 1
LCM(77212,77231) = 5963159972 / 1
LCM(77212,77231) = 5963159972

Least Common Multiple (LCM) of 77212 and 77231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77212 and 77231. First we will calculate the prime factors of 77212 and 77231.

Prime Factorization of 77212

Prime factors of 77212 are 2, 97, 199. Prime factorization of 77212 in exponential form is:

77212 = 22 × 971 × 1991

Prime Factorization of 77231

Prime factors of 77231 are 7, 11, 17, 59. Prime factorization of 77231 in exponential form is:

77231 = 71 × 111 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 77212 and 77231.

LCM(77212,77231) = 22 × 971 × 1991 × 71 × 111 × 171 × 591
LCM(77212,77231) = 5963159972