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What is the Least Common Multiple of 30965 and 30977?

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 30965 and 30977 is 959202805.

LCM(30965,30977) = 959202805

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Least Common Multiple of 30965 and 30977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30965 and 30977, than apply into the LCM equation.

GCF(30965,30977) = 1
LCM(30965,30977) = ( 30965 × 30977) / 1
LCM(30965,30977) = 959202805 / 1
LCM(30965,30977) = 959202805

Least Common Multiple (LCM) of 30965 and 30977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30965 and 30977. First we will calculate the prime factors of 30965 and 30977.

Prime Factorization of 30965

Prime factors of 30965 are 5, 11, 563. Prime factorization of 30965 in exponential form is:

30965 = 51 × 111 × 5631

Prime Factorization of 30977

Prime factors of 30977 are 30977. Prime factorization of 30977 in exponential form is:

30977 = 309771

Now multiplying the highest exponent prime factors to calculate the LCM of 30965 and 30977.

LCM(30965,30977) = 51 × 111 × 5631 × 309771
LCM(30965,30977) = 959202805