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What is the Least Common Multiple of 4638 and 4658?

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 4638 and 4658 is 10801902.

LCM(4638,4658) = 10801902

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Least Common Multiple of 4638 and 4658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4638 and 4658, than apply into the LCM equation.

GCF(4638,4658) = 2
LCM(4638,4658) = ( 4638 × 4658) / 2
LCM(4638,4658) = 21603804 / 2
LCM(4638,4658) = 10801902

Least Common Multiple (LCM) of 4638 and 4658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4658. First we will calculate the prime factors of 4638 and 4658.

Prime Factorization of 4638

Prime factors of 4638 are 2, 3, 773. Prime factorization of 4638 in exponential form is:

4638 = 21 × 31 × 7731

Prime Factorization of 4658

Prime factors of 4658 are 2, 17, 137. Prime factorization of 4658 in exponential form is:

4658 = 21 × 171 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4658.

LCM(4638,4658) = 21 × 31 × 7731 × 171 × 1371
LCM(4638,4658) = 10801902