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What is the Least Common Multiple of 92955 and 92962?

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 92955 and 92962 is 8641282710.

LCM(92955,92962) = 8641282710

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Least Common Multiple of 92955 and 92962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92955 and 92962, than apply into the LCM equation.

GCF(92955,92962) = 1
LCM(92955,92962) = ( 92955 × 92962) / 1
LCM(92955,92962) = 8641282710 / 1
LCM(92955,92962) = 8641282710

Least Common Multiple (LCM) of 92955 and 92962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92955 and 92962. First we will calculate the prime factors of 92955 and 92962.

Prime Factorization of 92955

Prime factors of 92955 are 3, 5, 6197. Prime factorization of 92955 in exponential form is:

92955 = 31 × 51 × 61971

Prime Factorization of 92962

Prime factors of 92962 are 2, 53, 877. Prime factorization of 92962 in exponential form is:

92962 = 21 × 531 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 92955 and 92962.

LCM(92955,92962) = 31 × 51 × 61971 × 21 × 531 × 8771
LCM(92955,92962) = 8641282710