GCF and LCM Calculator Logo

What is the Least Common Multiple of 4642 and 4654?

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 4654 is 10801934.

LCM(4642,4654) = 10801934

LCM Calculator and
and

Least Common Multiple of 4642 and 4654 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 4654, than apply into the LCM equation.

GCF(4642,4654) = 2
LCM(4642,4654) = ( 4642 × 4654) / 2
LCM(4642,4654) = 21603868 / 2
LCM(4642,4654) = 10801934

Least Common Multiple (LCM) of 4642 and 4654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4654. First we will calculate the prime factors of 4642 and 4654.

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 4654

Prime factors of 4654 are 2, 13, 179. Prime factorization of 4654 in exponential form is:

4654 = 21 × 131 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4654.

LCM(4642,4654) = 21 × 111 × 2111 × 131 × 1791
LCM(4642,4654) = 10801934