GCF and LCM Calculator Logo

What is the Least Common Multiple of 4642 and 4660?

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 4642 and 4660 is 10815860.

LCM(4642,4660) = 10815860

LCM Calculator and
and

Least Common Multiple of 4642 and 4660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4642 and 4660, than apply into the LCM equation.

GCF(4642,4660) = 2
LCM(4642,4660) = ( 4642 × 4660) / 2
LCM(4642,4660) = 21631720 / 2
LCM(4642,4660) = 10815860

Least Common Multiple (LCM) of 4642 and 4660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4660. First we will calculate the prime factors of 4642 and 4660.

Prime Factorization of 4642

Prime factors of 4642 are 2, 11, 211. Prime factorization of 4642 in exponential form is:

4642 = 21 × 111 × 2111

Prime Factorization of 4660

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

4660 = 22 × 51 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4660.

LCM(4642,4660) = 22 × 111 × 2111 × 51 × 2331
LCM(4642,4660) = 10815860