What is the Least Common Multiple of 7632 and 7642?

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 7632 and 7642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7632 and 7642, than apply into the LCM equation.

GCF(7632,7642) = 2
LCM(7632,7642) = ( 7632 × 7642) / 2
LCM(7632,7642) = 58323744 / 2
LCM(7632,7642) = 29161872

Least Common Multiple (LCM) of 7632 and 7642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7632 and 7642. First we will calculate the prime factors of 7632 and 7642.

Prime Factorization of 7632

Prime Factorization of 7642

Now multiplying the highest exponent prime factors to calculate the LCM of 7632 and 7642.

LCM(7632,7642) = 2⁴ × 3² × 53¹ × 3821¹
LCM(7632,7642) = 29161872