GCF and LCM Calculator Logo

What is the Least Common Multiple of 93910 and 93920?

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 93910 and 93920 is 882002720.

LCM(93910,93920) = 882002720

LCM Calculator and
and

Least Common Multiple of 93910 and 93920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93910 and 93920, than apply into the LCM equation.

GCF(93910,93920) = 10
LCM(93910,93920) = ( 93910 × 93920) / 10
LCM(93910,93920) = 8820027200 / 10
LCM(93910,93920) = 882002720

Least Common Multiple (LCM) of 93910 and 93920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93910 and 93920. First we will calculate the prime factors of 93910 and 93920.

Prime Factorization of 93910

Prime factors of 93910 are 2, 5, 9391. Prime factorization of 93910 in exponential form is:

93910 = 21 × 51 × 93911

Prime Factorization of 93920

Prime factors of 93920 are 2, 5, 587. Prime factorization of 93920 in exponential form is:

93920 = 25 × 51 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 93910 and 93920.

LCM(93910,93920) = 25 × 51 × 93911 × 5871
LCM(93910,93920) = 882002720