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What is the Least Common Multiple of 4740 and 4751?

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 4740 and 4751 is 22519740.

LCM(4740,4751) = 22519740

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Least Common Multiple of 4740 and 4751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4740 and 4751, than apply into the LCM equation.

GCF(4740,4751) = 1
LCM(4740,4751) = ( 4740 × 4751) / 1
LCM(4740,4751) = 22519740 / 1
LCM(4740,4751) = 22519740

Least Common Multiple (LCM) of 4740 and 4751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4740 and 4751. First we will calculate the prime factors of 4740 and 4751.

Prime Factorization of 4740

Prime factors of 4740 are 2, 3, 5, 79. Prime factorization of 4740 in exponential form is:

4740 = 22 × 31 × 51 × 791

Prime Factorization of 4751

Prime factors of 4751 are 4751. Prime factorization of 4751 in exponential form is:

4751 = 47511

Now multiplying the highest exponent prime factors to calculate the LCM of 4740 and 4751.

LCM(4740,4751) = 22 × 31 × 51 × 791 × 47511
LCM(4740,4751) = 22519740