GCF and LCM Calculator Logo

What is the Least Common Multiple of 4942 and 4946?

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 4942 and 4946 is 12221566.

LCM(4942,4946) = 12221566

LCM Calculator and
and

Least Common Multiple of 4942 and 4946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4942 and 4946, than apply into the LCM equation.

GCF(4942,4946) = 2
LCM(4942,4946) = ( 4942 × 4946) / 2
LCM(4942,4946) = 24443132 / 2
LCM(4942,4946) = 12221566

Least Common Multiple (LCM) of 4942 and 4946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4942 and 4946. First we will calculate the prime factors of 4942 and 4946.

Prime Factorization of 4942

Prime factors of 4942 are 2, 7, 353. Prime factorization of 4942 in exponential form is:

4942 = 21 × 71 × 3531

Prime Factorization of 4946

Prime factors of 4946 are 2, 2473. Prime factorization of 4946 in exponential form is:

4946 = 21 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 4942 and 4946.

LCM(4942,4946) = 21 × 71 × 3531 × 24731
LCM(4942,4946) = 12221566