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What is the Least Common Multiple of 54717 and 54736?

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 54717 and 54736 is 2994989712.

LCM(54717,54736) = 2994989712

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Least Common Multiple of 54717 and 54736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54717 and 54736, than apply into the LCM equation.

GCF(54717,54736) = 1
LCM(54717,54736) = ( 54717 × 54736) / 1
LCM(54717,54736) = 2994989712 / 1
LCM(54717,54736) = 2994989712

Least Common Multiple (LCM) of 54717 and 54736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54717 and 54736. First we will calculate the prime factors of 54717 and 54736.

Prime Factorization of 54717

Prime factors of 54717 are 3, 13, 23, 61. Prime factorization of 54717 in exponential form is:

54717 = 31 × 131 × 231 × 611

Prime Factorization of 54736

Prime factors of 54736 are 2, 11, 311. Prime factorization of 54736 in exponential form is:

54736 = 24 × 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 54717 and 54736.

LCM(54717,54736) = 31 × 131 × 231 × 611 × 24 × 111 × 3111
LCM(54717,54736) = 2994989712