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What is the Least Common Multiple of 64969 and 64977?

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 64969 and 64977 is 4221490713.

LCM(64969,64977) = 4221490713

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Least Common Multiple of 64969 and 64977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64969 and 64977, than apply into the LCM equation.

GCF(64969,64977) = 1
LCM(64969,64977) = ( 64969 × 64977) / 1
LCM(64969,64977) = 4221490713 / 1
LCM(64969,64977) = 4221490713

Least Common Multiple (LCM) of 64969 and 64977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64969 and 64977. First we will calculate the prime factors of 64969 and 64977.

Prime Factorization of 64969

Prime factors of 64969 are 64969. Prime factorization of 64969 in exponential form is:

64969 = 649691

Prime Factorization of 64977

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

64977 = 31 × 112 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 64969 and 64977.

LCM(64969,64977) = 649691 × 31 × 112 × 1791
LCM(64969,64977) = 4221490713