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What is the Least Common Multiple of 64925 and 64931?

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 64925 and 64931 is 4215645175.

LCM(64925,64931) = 4215645175

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Least Common Multiple of 64925 and 64931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64925 and 64931, than apply into the LCM equation.

GCF(64925,64931) = 1
LCM(64925,64931) = ( 64925 × 64931) / 1
LCM(64925,64931) = 4215645175 / 1
LCM(64925,64931) = 4215645175

Least Common Multiple (LCM) of 64925 and 64931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64925 and 64931. First we will calculate the prime factors of 64925 and 64931.

Prime Factorization of 64925

Prime factors of 64925 are 5, 7, 53. Prime factorization of 64925 in exponential form is:

64925 = 52 × 72 × 531

Prime Factorization of 64931

Prime factors of 64931 are 29, 2239. Prime factorization of 64931 in exponential form is:

64931 = 291 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 64925 and 64931.

LCM(64925,64931) = 52 × 72 × 531 × 291 × 22391
LCM(64925,64931) = 4215645175