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What is the Least Common Multiple of 54651 and 54671?

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 54671 is 2987824821.

LCM(54651,54671) = 2987824821

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Least Common Multiple of 54651 and 54671 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 54671, than apply into the LCM equation.

GCF(54651,54671) = 1
LCM(54651,54671) = ( 54651 × 54671) / 1
LCM(54651,54671) = 2987824821 / 1
LCM(54651,54671) = 2987824821

Least Common Multiple (LCM) of 54651 and 54671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54651 and 54671. First we will calculate the prime factors of 54651 and 54671.

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 54671

Prime factors of 54671 are 23, 2377. Prime factorization of 54671 in exponential form is:

54671 = 231 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 54651 and 54671.

LCM(54651,54671) = 31 × 182171 × 231 × 23771
LCM(54651,54671) = 2987824821