What is the Least Common Multiple of 79632 and 79650?

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 79632 and 79650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79632 and 79650, than apply into the LCM equation.

GCF(79632,79650) = 18
LCM(79632,79650) = ( 79632 × 79650) / 18
LCM(79632,79650) = 6342688800 / 18
LCM(79632,79650) = 352371600

Least Common Multiple (LCM) of 79632 and 79650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79632 and 79650. First we will calculate the prime factors of 79632 and 79650.

Prime Factorization of 79632

Prime Factorization of 79650

Now multiplying the highest exponent prime factors to calculate the LCM of 79632 and 79650.

LCM(79632,79650) = 2⁴ × 3³ × 7¹ × 79¹ × 5² × 59¹
LCM(79632,79650) = 352371600