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What is the Least Common Multiple of 64792 and 64801?

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 64792 and 64801 is 4198586392.

LCM(64792,64801) = 4198586392

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Least Common Multiple of 64792 and 64801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64792 and 64801, than apply into the LCM equation.

GCF(64792,64801) = 1
LCM(64792,64801) = ( 64792 × 64801) / 1
LCM(64792,64801) = 4198586392 / 1
LCM(64792,64801) = 4198586392

Least Common Multiple (LCM) of 64792 and 64801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64792 and 64801. First we will calculate the prime factors of 64792 and 64801.

Prime Factorization of 64792

Prime factors of 64792 are 2, 7, 13, 89. Prime factorization of 64792 in exponential form is:

64792 = 23 × 71 × 131 × 891

Prime Factorization of 64801

Prime factors of 64801 are 11, 43, 137. Prime factorization of 64801 in exponential form is:

64801 = 111 × 431 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 64792 and 64801.

LCM(64792,64801) = 23 × 71 × 131 × 891 × 111 × 431 × 1371
LCM(64792,64801) = 4198586392