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What is the Least Common Multiple of 64468 and 64477?

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 64468 and 64477 is 4156703236.

LCM(64468,64477) = 4156703236

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Least Common Multiple of 64468 and 64477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64468 and 64477, than apply into the LCM equation.

GCF(64468,64477) = 1
LCM(64468,64477) = ( 64468 × 64477) / 1
LCM(64468,64477) = 4156703236 / 1
LCM(64468,64477) = 4156703236

Least Common Multiple (LCM) of 64468 and 64477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64468 and 64477. First we will calculate the prime factors of 64468 and 64477.

Prime Factorization of 64468

Prime factors of 64468 are 2, 71, 227. Prime factorization of 64468 in exponential form is:

64468 = 22 × 711 × 2271

Prime Factorization of 64477

Prime factors of 64477 are 7, 61, 151. Prime factorization of 64477 in exponential form is:

64477 = 71 × 611 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 64468 and 64477.

LCM(64468,64477) = 22 × 711 × 2271 × 71 × 611 × 1511
LCM(64468,64477) = 4156703236