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What is the Least Common Multiple of 65960 and 65977?

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 65960 and 65977 is 255990760.

LCM(65960,65977) = 255990760

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Least Common Multiple of 65960 and 65977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65960 and 65977, than apply into the LCM equation.

GCF(65960,65977) = 17
LCM(65960,65977) = ( 65960 × 65977) / 17
LCM(65960,65977) = 4351842920 / 17
LCM(65960,65977) = 255990760

Least Common Multiple (LCM) of 65960 and 65977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65960 and 65977. First we will calculate the prime factors of 65960 and 65977.

Prime Factorization of 65960

Prime factors of 65960 are 2, 5, 17, 97. Prime factorization of 65960 in exponential form is:

65960 = 23 × 51 × 171 × 971

Prime Factorization of 65977

Prime factors of 65977 are 17, 3881. Prime factorization of 65977 in exponential form is:

65977 = 171 × 38811

Now multiplying the highest exponent prime factors to calculate the LCM of 65960 and 65977.

LCM(65960,65977) = 23 × 51 × 171 × 971 × 38811
LCM(65960,65977) = 255990760