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What is the Least Common Multiple of 4750 and 4764?

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 4750 and 4764 is 11314500.

LCM(4750,4764) = 11314500

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Least Common Multiple of 4750 and 4764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4750 and 4764, than apply into the LCM equation.

GCF(4750,4764) = 2
LCM(4750,4764) = ( 4750 × 4764) / 2
LCM(4750,4764) = 22629000 / 2
LCM(4750,4764) = 11314500

Least Common Multiple (LCM) of 4750 and 4764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4750 and 4764. First we will calculate the prime factors of 4750 and 4764.

Prime Factorization of 4750

Prime factors of 4750 are 2, 5, 19. Prime factorization of 4750 in exponential form is:

4750 = 21 × 53 × 191

Prime Factorization of 4764

Prime factors of 4764 are 2, 3, 397. Prime factorization of 4764 in exponential form is:

4764 = 22 × 31 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 4750 and 4764.

LCM(4750,4764) = 22 × 53 × 191 × 31 × 3971
LCM(4750,4764) = 11314500