What is the Least Common Multiple of 78492 and 78500?

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 78492 and 78500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78492 and 78500, than apply into the LCM equation.

GCF(78492,78500) = 4
LCM(78492,78500) = ( 78492 × 78500) / 4
LCM(78492,78500) = 6161622000 / 4
LCM(78492,78500) = 1540405500

Least Common Multiple (LCM) of 78492 and 78500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78492 and 78500. First we will calculate the prime factors of 78492 and 78500.

Prime Factorization of 78492

Prime Factorization of 78500

Now multiplying the highest exponent prime factors to calculate the LCM of 78492 and 78500.

LCM(78492,78500) = 2² × 3¹ × 31¹ × 211¹ × 5³ × 157¹
LCM(78492,78500) = 1540405500