What is the Least Common Multiple of 43750 and 43770?

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 43770 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 43770, than apply into the LCM equation.

GCF(43750,43770) = 10
LCM(43750,43770) = ( 43750 × 43770) / 10
LCM(43750,43770) = 1914937500 / 10
LCM(43750,43770) = 191493750

Least Common Multiple (LCM) of 43750 and 43770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43750 and 43770. First we will calculate the prime factors of 43750 and 43770.

Prime Factorization of 43750

Prime Factorization of 43770

Now multiplying the highest exponent prime factors to calculate the LCM of 43750 and 43770.

LCM(43750,43770) = 2¹ × 5⁵ × 7¹ × 3¹ × 1459¹
LCM(43750,43770) = 191493750