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What is the Least Common Multiple of 4636 and 4648?

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 4636 and 4648 is 5387032.

LCM(4636,4648) = 5387032

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Least Common Multiple of 4636 and 4648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4636 and 4648, than apply into the LCM equation.

GCF(4636,4648) = 4
LCM(4636,4648) = ( 4636 × 4648) / 4
LCM(4636,4648) = 21548128 / 4
LCM(4636,4648) = 5387032

Least Common Multiple (LCM) of 4636 and 4648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4636 and 4648. First we will calculate the prime factors of 4636 and 4648.

Prime Factorization of 4636

Prime factors of 4636 are 2, 19, 61. Prime factorization of 4636 in exponential form is:

4636 = 22 × 191 × 611

Prime Factorization of 4648

Prime factors of 4648 are 2, 7, 83. Prime factorization of 4648 in exponential form is:

4648 = 23 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 4636 and 4648.

LCM(4636,4648) = 23 × 191 × 611 × 71 × 831
LCM(4636,4648) = 5387032