What is the Least Common Multiple of 40740 and 40750?

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 40740 and 40750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40740 and 40750, than apply into the LCM equation.

GCF(40740,40750) = 10
LCM(40740,40750) = ( 40740 × 40750) / 10
LCM(40740,40750) = 1660155000 / 10
LCM(40740,40750) = 166015500

Least Common Multiple (LCM) of 40740 and 40750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40740 and 40750. First we will calculate the prime factors of 40740 and 40750.

Prime Factorization of 40740

Prime Factorization of 40750

Now multiplying the highest exponent prime factors to calculate the LCM of 40740 and 40750.

LCM(40740,40750) = 2² × 3¹ × 5³ × 7¹ × 97¹ × 163¹
LCM(40740,40750) = 166015500