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What is the Least Common Multiple of 4628 and 4635?

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 4628 and 4635 is 21450780.

LCM(4628,4635) = 21450780

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Least Common Multiple of 4628 and 4635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4628 and 4635, than apply into the LCM equation.

GCF(4628,4635) = 1
LCM(4628,4635) = ( 4628 × 4635) / 1
LCM(4628,4635) = 21450780 / 1
LCM(4628,4635) = 21450780

Least Common Multiple (LCM) of 4628 and 4635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4628 and 4635. First we will calculate the prime factors of 4628 and 4635.

Prime Factorization of 4628

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

4628 = 22 × 131 × 891

Prime Factorization of 4635

Prime factors of 4635 are 3, 5, 103. Prime factorization of 4635 in exponential form is:

4635 = 32 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4628 and 4635.

LCM(4628,4635) = 22 × 131 × 891 × 32 × 51 × 1031
LCM(4628,4635) = 21450780