What is the Least Common Multiple of 61626 and 61632?

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 61626 and 61632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61626 and 61632, than apply into the LCM equation.

GCF(61626,61632) = 6
LCM(61626,61632) = ( 61626 × 61632) / 6
LCM(61626,61632) = 3798133632 / 6
LCM(61626,61632) = 633022272

Least Common Multiple (LCM) of 61626 and 61632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61626 and 61632. First we will calculate the prime factors of 61626 and 61632.

Prime Factorization of 61626

Prime Factorization of 61632

Now multiplying the highest exponent prime factors to calculate the LCM of 61626 and 61632.

LCM(61626,61632) = 2⁶ × 3² × 10271¹ × 107¹
LCM(61626,61632) = 633022272