What is the Least Common Multiple of 7632 and 7647?

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 7647 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 7647, than apply into the LCM equation.

GCF(7632,7647) = 3
LCM(7632,7647) = ( 7632 × 7647) / 3
LCM(7632,7647) = 58361904 / 3
LCM(7632,7647) = 19453968

Least Common Multiple (LCM) of 7632 and 7647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7632 and 7647. First we will calculate the prime factors of 7632 and 7647.

Prime Factorization of 7632

Prime Factorization of 7647

Now multiplying the highest exponent prime factors to calculate the LCM of 7632 and 7647.

LCM(7632,7647) = 2⁴ × 3² × 53¹ × 2549¹
LCM(7632,7647) = 19453968