What is the Least Common Multiple of 73626 and 73632?

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 73626 and 73632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73626 and 73632, than apply into the LCM equation.

GCF(73626,73632) = 6
LCM(73626,73632) = ( 73626 × 73632) / 6
LCM(73626,73632) = 5421229632 / 6
LCM(73626,73632) = 903538272

Least Common Multiple (LCM) of 73626 and 73632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73626 and 73632. First we will calculate the prime factors of 73626 and 73632.

Prime Factorization of 73626

Prime Factorization of 73632

Now multiplying the highest exponent prime factors to calculate the LCM of 73626 and 73632.

LCM(73626,73632) = 2⁵ × 3¹ × 7¹ × 1753¹ × 13¹ × 59¹
LCM(73626,73632) = 903538272