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What is the Least Common Multiple of 64977 and 64981?

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 64977 and 64981 is 4222270437.

LCM(64977,64981) = 4222270437

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Least Common Multiple of 64977 and 64981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64977 and 64981, than apply into the LCM equation.

GCF(64977,64981) = 1
LCM(64977,64981) = ( 64977 × 64981) / 1
LCM(64977,64981) = 4222270437 / 1
LCM(64977,64981) = 4222270437

Least Common Multiple (LCM) of 64977 and 64981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64977 and 64981. First we will calculate the prime factors of 64977 and 64981.

Prime Factorization of 64977

Prime factors of 64977 are 3, 11, 179. Prime factorization of 64977 in exponential form is:

64977 = 31 × 112 × 1791

Prime Factorization of 64981

Prime factors of 64981 are 7, 9283. Prime factorization of 64981 in exponential form is:

64981 = 71 × 92831

Now multiplying the highest exponent prime factors to calculate the LCM of 64977 and 64981.

LCM(64977,64981) = 31 × 112 × 1791 × 71 × 92831
LCM(64977,64981) = 4222270437