GCF and LCM Calculator Logo

What is the Least Common Multiple of 60923 and 60930?

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 60923 and 60930 is 3712038390.

LCM(60923,60930) = 3712038390

LCM Calculator and
and

Least Common Multiple of 60923 and 60930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60923 and 60930, than apply into the LCM equation.

GCF(60923,60930) = 1
LCM(60923,60930) = ( 60923 × 60930) / 1
LCM(60923,60930) = 3712038390 / 1
LCM(60923,60930) = 3712038390

Least Common Multiple (LCM) of 60923 and 60930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60923 and 60930. First we will calculate the prime factors of 60923 and 60930.

Prime Factorization of 60923

Prime factors of 60923 are 60923. Prime factorization of 60923 in exponential form is:

60923 = 609231

Prime Factorization of 60930

Prime factors of 60930 are 2, 3, 5, 677. Prime factorization of 60930 in exponential form is:

60930 = 21 × 32 × 51 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 60923 and 60930.

LCM(60923,60930) = 609231 × 21 × 32 × 51 × 6771
LCM(60923,60930) = 3712038390