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What is the Least Common Multiple of 4640 and 4644?

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 4640 and 4644 is 5387040.

LCM(4640,4644) = 5387040

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Least Common Multiple of 4640 and 4644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4640 and 4644, than apply into the LCM equation.

GCF(4640,4644) = 4
LCM(4640,4644) = ( 4640 × 4644) / 4
LCM(4640,4644) = 21548160 / 4
LCM(4640,4644) = 5387040

Least Common Multiple (LCM) of 4640 and 4644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4640 and 4644. First we will calculate the prime factors of 4640 and 4644.

Prime Factorization of 4640

Prime factors of 4640 are 2, 5, 29. Prime factorization of 4640 in exponential form is:

4640 = 25 × 51 × 291

Prime Factorization of 4644

Prime factors of 4644 are 2, 3, 43. Prime factorization of 4644 in exponential form is:

4644 = 22 × 33 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4640 and 4644.

LCM(4640,4644) = 25 × 51 × 291 × 33 × 431
LCM(4640,4644) = 5387040