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What is the Least Common Multiple of 60977 and 60987?

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 60977 and 60987 is 3718804299.

LCM(60977,60987) = 3718804299

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Least Common Multiple of 60977 and 60987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60977 and 60987, than apply into the LCM equation.

GCF(60977,60987) = 1
LCM(60977,60987) = ( 60977 × 60987) / 1
LCM(60977,60987) = 3718804299 / 1
LCM(60977,60987) = 3718804299

Least Common Multiple (LCM) of 60977 and 60987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60977 and 60987. First we will calculate the prime factors of 60977 and 60987.

Prime Factorization of 60977

Prime factors of 60977 are 7, 31, 281. Prime factorization of 60977 in exponential form is:

60977 = 71 × 311 × 2811

Prime Factorization of 60987

Prime factors of 60987 are 3, 29, 701. Prime factorization of 60987 in exponential form is:

60987 = 31 × 291 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 60977 and 60987.

LCM(60977,60987) = 71 × 311 × 2811 × 31 × 291 × 7011
LCM(60977,60987) = 3718804299