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What is the Least Common Multiple of 54688 and 54708?

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 54688 and 54708 is 747967776.

LCM(54688,54708) = 747967776

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Least Common Multiple of 54688 and 54708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54688 and 54708, than apply into the LCM equation.

GCF(54688,54708) = 4
LCM(54688,54708) = ( 54688 × 54708) / 4
LCM(54688,54708) = 2991871104 / 4
LCM(54688,54708) = 747967776

Least Common Multiple (LCM) of 54688 and 54708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54688 and 54708. First we will calculate the prime factors of 54688 and 54708.

Prime Factorization of 54688

Prime factors of 54688 are 2, 1709. Prime factorization of 54688 in exponential form is:

54688 = 25 × 17091

Prime Factorization of 54708

Prime factors of 54708 are 2, 3, 47, 97. Prime factorization of 54708 in exponential form is:

54708 = 22 × 31 × 471 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 54688 and 54708.

LCM(54688,54708) = 25 × 17091 × 31 × 471 × 971
LCM(54688,54708) = 747967776