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What is the Least Common Multiple of 4620 and 4628?

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 4620 and 4628 is 5345340.

LCM(4620,4628) = 5345340

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Least Common Multiple of 4620 and 4628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4620 and 4628, than apply into the LCM equation.

GCF(4620,4628) = 4
LCM(4620,4628) = ( 4620 × 4628) / 4
LCM(4620,4628) = 21381360 / 4
LCM(4620,4628) = 5345340

Least Common Multiple (LCM) of 4620 and 4628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4620 and 4628. First we will calculate the prime factors of 4620 and 4628.

Prime Factorization of 4620

Prime factors of 4620 are 2, 3, 5, 7, 11. Prime factorization of 4620 in exponential form is:

4620 = 22 × 31 × 51 × 71 × 111

Prime Factorization of 4628

Prime factors of 4628 are 2, 13, 89. Prime factorization of 4628 in exponential form is:

4628 = 22 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 4620 and 4628.

LCM(4620,4628) = 22 × 31 × 51 × 71 × 111 × 131 × 891
LCM(4620,4628) = 5345340