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What is the Least Common Multiple of 77551 and 77569?

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 77551 and 77569 is 6015553519.

LCM(77551,77569) = 6015553519

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Least Common Multiple of 77551 and 77569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77551 and 77569, than apply into the LCM equation.

GCF(77551,77569) = 1
LCM(77551,77569) = ( 77551 × 77569) / 1
LCM(77551,77569) = 6015553519 / 1
LCM(77551,77569) = 6015553519

Least Common Multiple (LCM) of 77551 and 77569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77551 and 77569. First we will calculate the prime factors of 77551 and 77569.

Prime Factorization of 77551

Prime factors of 77551 are 77551. Prime factorization of 77551 in exponential form is:

77551 = 775511

Prime Factorization of 77569

Prime factors of 77569 are 77569. Prime factorization of 77569 in exponential form is:

77569 = 775691

Now multiplying the highest exponent prime factors to calculate the LCM of 77551 and 77569.

LCM(77551,77569) = 775511 × 775691
LCM(77551,77569) = 6015553519