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What is the Least Common Multiple of 60979 and 60983?

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 60979 and 60983 is 3718682357.

LCM(60979,60983) = 3718682357

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Least Common Multiple of 60979 and 60983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60979 and 60983, than apply into the LCM equation.

GCF(60979,60983) = 1
LCM(60979,60983) = ( 60979 × 60983) / 1
LCM(60979,60983) = 3718682357 / 1
LCM(60979,60983) = 3718682357

Least Common Multiple (LCM) of 60979 and 60983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60979 and 60983. First we will calculate the prime factors of 60979 and 60983.

Prime Factorization of 60979

Prime factors of 60979 are 17, 211. Prime factorization of 60979 in exponential form is:

60979 = 172 × 2111

Prime Factorization of 60983

Prime factors of 60983 are 13, 4691. Prime factorization of 60983 in exponential form is:

60983 = 131 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 60979 and 60983.

LCM(60979,60983) = 172 × 2111 × 131 × 46911
LCM(60979,60983) = 3718682357