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What is the Least Common Multiple of 64955 and 64972?

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 64955 and 64972 is 4220256260.

LCM(64955,64972) = 4220256260

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Least Common Multiple of 64955 and 64972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64955 and 64972, than apply into the LCM equation.

GCF(64955,64972) = 1
LCM(64955,64972) = ( 64955 × 64972) / 1
LCM(64955,64972) = 4220256260 / 1
LCM(64955,64972) = 4220256260

Least Common Multiple (LCM) of 64955 and 64972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64955 and 64972. First we will calculate the prime factors of 64955 and 64972.

Prime Factorization of 64955

Prime factors of 64955 are 5, 11, 1181. Prime factorization of 64955 in exponential form is:

64955 = 51 × 111 × 11811

Prime Factorization of 64972

Prime factors of 64972 are 2, 37, 439. Prime factorization of 64972 in exponential form is:

64972 = 22 × 371 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 64955 and 64972.

LCM(64955,64972) = 51 × 111 × 11811 × 22 × 371 × 4391
LCM(64955,64972) = 4220256260