GCF and LCM Calculator Logo

What is the Least Common Multiple of 30627 and 30642?

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 30627 and 30642 is 312824178.

LCM(30627,30642) = 312824178

LCM Calculator and
and

Least Common Multiple of 30627 and 30642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30627 and 30642, than apply into the LCM equation.

GCF(30627,30642) = 3
LCM(30627,30642) = ( 30627 × 30642) / 3
LCM(30627,30642) = 938472534 / 3
LCM(30627,30642) = 312824178

Least Common Multiple (LCM) of 30627 and 30642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30627 and 30642. First we will calculate the prime factors of 30627 and 30642.

Prime Factorization of 30627

Prime factors of 30627 are 3, 41, 83. Prime factorization of 30627 in exponential form is:

30627 = 32 × 411 × 831

Prime Factorization of 30642

Prime factors of 30642 are 2, 3, 5107. Prime factorization of 30642 in exponential form is:

30642 = 21 × 31 × 51071

Now multiplying the highest exponent prime factors to calculate the LCM of 30627 and 30642.

LCM(30627,30642) = 32 × 411 × 831 × 21 × 51071
LCM(30627,30642) = 312824178