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What is the Least Common Multiple of 54792 and 54807?

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 54792 and 54807 is 1000995048.

LCM(54792,54807) = 1000995048

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Least Common Multiple of 54792 and 54807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54792 and 54807, than apply into the LCM equation.

GCF(54792,54807) = 3
LCM(54792,54807) = ( 54792 × 54807) / 3
LCM(54792,54807) = 3002985144 / 3
LCM(54792,54807) = 1000995048

Least Common Multiple (LCM) of 54792 and 54807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54792 and 54807. First we will calculate the prime factors of 54792 and 54807.

Prime Factorization of 54792

Prime factors of 54792 are 2, 3, 761. Prime factorization of 54792 in exponential form is:

54792 = 23 × 32 × 7611

Prime Factorization of 54807

Prime factors of 54807 are 3, 18269. Prime factorization of 54807 in exponential form is:

54807 = 31 × 182691

Now multiplying the highest exponent prime factors to calculate the LCM of 54792 and 54807.

LCM(54792,54807) = 23 × 32 × 7611 × 182691
LCM(54792,54807) = 1000995048