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What is the Least Common Multiple of 65965 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 65965 and 65977 is 4352172805.

LCM(65965,65977) = 4352172805

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Least Common Multiple of 65965 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 65965 and 65977, than apply into the LCM equation.

GCF(65965,65977) = 1
LCM(65965,65977) = ( 65965 × 65977) / 1
LCM(65965,65977) = 4352172805 / 1
LCM(65965,65977) = 4352172805

Least Common Multiple (LCM) of 65965 and 65977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65965 and 65977. First we will calculate the prime factors of 65965 and 65977.

Prime Factorization of 65965

Prime factors of 65965 are 5, 79, 167. Prime factorization of 65965 in exponential form is:

65965 = 51 × 791 × 1671

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 65965 and 65977.

LCM(65965,65977) = 51 × 791 × 1671 × 171 × 38811
LCM(65965,65977) = 4352172805