What is the Least Common Multiple of 79750 and 79755?

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 79750 and 79755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79750 and 79755, than apply into the LCM equation.

GCF(79750,79755) = 5
LCM(79750,79755) = ( 79750 × 79755) / 5
LCM(79750,79755) = 6360461250 / 5
LCM(79750,79755) = 1272092250

Least Common Multiple (LCM) of 79750 and 79755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79750 and 79755. First we will calculate the prime factors of 79750 and 79755.

Prime Factorization of 79750

Prime Factorization of 79755

Now multiplying the highest exponent prime factors to calculate the LCM of 79750 and 79755.

LCM(79750,79755) = 2¹ × 5³ × 11¹ × 29¹ × 3¹ × 13¹ × 409¹
LCM(79750,79755) = 1272092250