What is the Least Common Multiple of 78750 and 78764?

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 78750 and 78764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78750 and 78764, than apply into the LCM equation.

GCF(78750,78764) = 14
LCM(78750,78764) = ( 78750 × 78764) / 14
LCM(78750,78764) = 6202665000 / 14
LCM(78750,78764) = 443047500

Least Common Multiple (LCM) of 78750 and 78764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78750 and 78764. First we will calculate the prime factors of 78750 and 78764.

Prime Factorization of 78750

Prime Factorization of 78764

Now multiplying the highest exponent prime factors to calculate the LCM of 78750 and 78764.

LCM(78750,78764) = 2² × 3² × 5⁴ × 7¹ × 29¹ × 97¹
LCM(78750,78764) = 443047500