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What is the Least Common Multiple of 54651 and 54658?

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 54651 and 54658 is 2987114358.

LCM(54651,54658) = 2987114358

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Least Common Multiple of 54651 and 54658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54651 and 54658, than apply into the LCM equation.

GCF(54651,54658) = 1
LCM(54651,54658) = ( 54651 × 54658) / 1
LCM(54651,54658) = 2987114358 / 1
LCM(54651,54658) = 2987114358

Least Common Multiple (LCM) of 54651 and 54658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54651 and 54658. First we will calculate the prime factors of 54651 and 54658.

Prime Factorization of 54651

Prime factors of 54651 are 3, 18217. Prime factorization of 54651 in exponential form is:

54651 = 31 × 182171

Prime Factorization of 54658

Prime factors of 54658 are 2, 27329. Prime factorization of 54658 in exponential form is:

54658 = 21 × 273291

Now multiplying the highest exponent prime factors to calculate the LCM of 54651 and 54658.

LCM(54651,54658) = 31 × 182171 × 21 × 273291
LCM(54651,54658) = 2987114358