GCF and LCM Calculator Logo

What is the Least Common Multiple of 4222 and 4242?

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 4222 and 4242 is 8954862.

LCM(4222,4242) = 8954862

LCM Calculator and
and

Least Common Multiple of 4222 and 4242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4222 and 4242, than apply into the LCM equation.

GCF(4222,4242) = 2
LCM(4222,4242) = ( 4222 × 4242) / 2
LCM(4222,4242) = 17909724 / 2
LCM(4222,4242) = 8954862

Least Common Multiple (LCM) of 4222 and 4242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4222 and 4242. First we will calculate the prime factors of 4222 and 4242.

Prime Factorization of 4222

Prime factors of 4222 are 2, 2111. Prime factorization of 4222 in exponential form is:

4222 = 21 × 21111

Prime Factorization of 4242

Prime factors of 4242 are 2, 3, 7, 101. Prime factorization of 4242 in exponential form is:

4242 = 21 × 31 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4222 and 4242.

LCM(4222,4242) = 21 × 21111 × 31 × 71 × 1011
LCM(4222,4242) = 8954862