GCF and LCM Calculator Logo

What is the Least Common Multiple of 30621 and 30625?

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 30621 and 30625 is 937768125.

LCM(30621,30625) = 937768125

LCM Calculator and
and

Least Common Multiple of 30621 and 30625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30621 and 30625, than apply into the LCM equation.

GCF(30621,30625) = 1
LCM(30621,30625) = ( 30621 × 30625) / 1
LCM(30621,30625) = 937768125 / 1
LCM(30621,30625) = 937768125

Least Common Multiple (LCM) of 30621 and 30625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30621 and 30625. First we will calculate the prime factors of 30621 and 30625.

Prime Factorization of 30621

Prime factors of 30621 are 3, 59, 173. Prime factorization of 30621 in exponential form is:

30621 = 31 × 591 × 1731

Prime Factorization of 30625

Prime factors of 30625 are 5, 7. Prime factorization of 30625 in exponential form is:

30625 = 54 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 30621 and 30625.

LCM(30621,30625) = 31 × 591 × 1731 × 54 × 72
LCM(30621,30625) = 937768125