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What is the Least Common Multiple of 4746 and 4752?

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 4746 and 4752 is 3758832.

LCM(4746,4752) = 3758832

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Least Common Multiple of 4746 and 4752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4746 and 4752, than apply into the LCM equation.

GCF(4746,4752) = 6
LCM(4746,4752) = ( 4746 × 4752) / 6
LCM(4746,4752) = 22552992 / 6
LCM(4746,4752) = 3758832

Least Common Multiple (LCM) of 4746 and 4752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4746 and 4752. First we will calculate the prime factors of 4746 and 4752.

Prime Factorization of 4746

Prime factors of 4746 are 2, 3, 7, 113. Prime factorization of 4746 in exponential form is:

4746 = 21 × 31 × 71 × 1131

Prime Factorization of 4752

Prime factors of 4752 are 2, 3, 11. Prime factorization of 4752 in exponential form is:

4752 = 24 × 33 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 4746 and 4752.

LCM(4746,4752) = 24 × 33 × 71 × 1131 × 111
LCM(4746,4752) = 3758832