What is the Least Common Multiple of 79624 and 79632?

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 79624 and 79632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79624 and 79632, than apply into the LCM equation.

GCF(79624,79632) = 8
LCM(79624,79632) = ( 79624 × 79632) / 8
LCM(79624,79632) = 6340618368 / 8
LCM(79624,79632) = 792577296

Least Common Multiple (LCM) of 79624 and 79632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79624 and 79632. First we will calculate the prime factors of 79624 and 79632.

Prime Factorization of 79624

Prime Factorization of 79632

Now multiplying the highest exponent prime factors to calculate the LCM of 79624 and 79632.

LCM(79624,79632) = 2⁴ × 37¹ × 269¹ × 3² × 7¹ × 79¹
LCM(79624,79632) = 792577296