What is the Least Common Multiple of 3630 and 3642?

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 of 3630 and 3642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3630 and 3642, than apply into the LCM equation.

GCF(3630,3642) = 6
LCM(3630,3642) = ( 3630 × 3642) / 6
LCM(3630,3642) = 13220460 / 6
LCM(3630,3642) = 2203410

Least Common Multiple (LCM) of 3630 and 3642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3630 and 3642. First we will calculate the prime factors of 3630 and 3642.

Prime Factorization of 3630

Prime Factorization of 3642

Now multiplying the highest exponent prime factors to calculate the LCM of 3630 and 3642.

LCM(3630,3642) = 2¹ × 3¹ × 5¹ × 11² × 607¹
LCM(3630,3642) = 2203410