What is the Least Common Multiple of 79248 and 79256?

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 79248 and 79256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79248 and 79256, than apply into the LCM equation.

GCF(79248,79256) = 8
LCM(79248,79256) = ( 79248 × 79256) / 8
LCM(79248,79256) = 6280879488 / 8
LCM(79248,79256) = 785109936

Least Common Multiple (LCM) of 79248 and 79256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79248 and 79256. First we will calculate the prime factors of 79248 and 79256.

Prime Factorization of 79248

Prime Factorization of 79256

Now multiplying the highest exponent prime factors to calculate the LCM of 79248 and 79256.

LCM(79248,79256) = 2⁴ × 3¹ × 13¹ × 127¹ × 9907¹
LCM(79248,79256) = 785109936