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What is the Least Common Multiple of 60979 and 60985?

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 60985 is 3718804315.

LCM(60979,60985) = 3718804315

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Least Common Multiple of 60979 and 60985 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 60985, than apply into the LCM equation.

GCF(60979,60985) = 1
LCM(60979,60985) = ( 60979 × 60985) / 1
LCM(60979,60985) = 3718804315 / 1
LCM(60979,60985) = 3718804315

Least Common Multiple (LCM) of 60979 and 60985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60979 and 60985. First we will calculate the prime factors of 60979 and 60985.

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 60985

Prime factors of 60985 are 5, 12197. Prime factorization of 60985 in exponential form is:

60985 = 51 × 121971

Now multiplying the highest exponent prime factors to calculate the LCM of 60979 and 60985.

LCM(60979,60985) = 172 × 2111 × 51 × 121971
LCM(60979,60985) = 3718804315