What is the Least Common Multiple of 79040 and 79056?

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 79040 and 79056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79040 and 79056, than apply into the LCM equation.

GCF(79040,79056) = 16
LCM(79040,79056) = ( 79040 × 79056) / 16
LCM(79040,79056) = 6248586240 / 16
LCM(79040,79056) = 390536640

Least Common Multiple (LCM) of 79040 and 79056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79040 and 79056. First we will calculate the prime factors of 79040 and 79056.

Prime Factorization of 79040

Prime Factorization of 79056

Now multiplying the highest exponent prime factors to calculate the LCM of 79040 and 79056.

LCM(79040,79056) = 2⁶ × 5¹ × 13¹ × 19¹ × 3⁴ × 61¹
LCM(79040,79056) = 390536640