What is the Least Common Multiple of 77616 and 77632?

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 77616 and 77632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77616 and 77632, than apply into the LCM equation.

GCF(77616,77632) = 16
LCM(77616,77632) = ( 77616 × 77632) / 16
LCM(77616,77632) = 6025485312 / 16
LCM(77616,77632) = 376592832

Least Common Multiple (LCM) of 77616 and 77632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77616 and 77632. First we will calculate the prime factors of 77616 and 77632.

Prime Factorization of 77616

Prime Factorization of 77632

Now multiplying the highest exponent prime factors to calculate the LCM of 77616 and 77632.

LCM(77616,77632) = 2⁶ × 3² × 7² × 11¹ × 1213¹
LCM(77616,77632) = 376592832