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What is the Least Common Multiple of 4677 and 4688?

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 4677 and 4688 is 21925776.

LCM(4677,4688) = 21925776

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Least Common Multiple of 4677 and 4688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4677 and 4688, than apply into the LCM equation.

GCF(4677,4688) = 1
LCM(4677,4688) = ( 4677 × 4688) / 1
LCM(4677,4688) = 21925776 / 1
LCM(4677,4688) = 21925776

Least Common Multiple (LCM) of 4677 and 4688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4677 and 4688. First we will calculate the prime factors of 4677 and 4688.

Prime Factorization of 4677

Prime factors of 4677 are 3, 1559. Prime factorization of 4677 in exponential form is:

4677 = 31 × 15591

Prime Factorization of 4688

Prime factors of 4688 are 2, 293. Prime factorization of 4688 in exponential form is:

4688 = 24 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 4677 and 4688.

LCM(4677,4688) = 31 × 15591 × 24 × 2931
LCM(4677,4688) = 21925776