What is the Least Common Multiple of 43750 and 43764?

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 43750 and 43764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43750 and 43764, than apply into the LCM equation.

GCF(43750,43764) = 14
LCM(43750,43764) = ( 43750 × 43764) / 14
LCM(43750,43764) = 1914675000 / 14
LCM(43750,43764) = 136762500

Least Common Multiple (LCM) of 43750 and 43764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43750 and 43764. First we will calculate the prime factors of 43750 and 43764.

Prime Factorization of 43750

Prime Factorization of 43764

Now multiplying the highest exponent prime factors to calculate the LCM of 43750 and 43764.

LCM(43750,43764) = 2² × 5⁵ × 7¹ × 3¹ × 521¹
LCM(43750,43764) = 136762500