What is the Least Common Multiple of 79239 and 79248?

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 79239 and 79248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79239 and 79248, than apply into the LCM equation.

GCF(79239,79248) = 3
LCM(79239,79248) = ( 79239 × 79248) / 3
LCM(79239,79248) = 6279532272 / 3
LCM(79239,79248) = 2093177424

Least Common Multiple (LCM) of 79239 and 79248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79239 and 79248. First we will calculate the prime factors of 79239 and 79248.

Prime Factorization of 79239

Prime Factorization of 79248

Now multiplying the highest exponent prime factors to calculate the LCM of 79239 and 79248.

LCM(79239,79248) = 3¹ × 61¹ × 433¹ × 2⁴ × 13¹ × 127¹
LCM(79239,79248) = 2093177424