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What is the Least Common Multiple of 4660 and 4677?

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 4660 and 4677 is 21794820.

LCM(4660,4677) = 21794820

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Least Common Multiple of 4660 and 4677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4660 and 4677, than apply into the LCM equation.

GCF(4660,4677) = 1
LCM(4660,4677) = ( 4660 × 4677) / 1
LCM(4660,4677) = 21794820 / 1
LCM(4660,4677) = 21794820

Least Common Multiple (LCM) of 4660 and 4677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4660 and 4677. First we will calculate the prime factors of 4660 and 4677.

Prime Factorization of 4660

Prime factors of 4660 are 2, 5, 233. Prime factorization of 4660 in exponential form is:

4660 = 22 × 51 × 2331

Prime Factorization of 4677

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

4677 = 31 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 4660 and 4677.

LCM(4660,4677) = 22 × 51 × 2331 × 31 × 15591
LCM(4660,4677) = 21794820