What is the Least Common Multiple of 40350 and 40370?

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 40350 and 40370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40350 and 40370, than apply into the LCM equation.

GCF(40350,40370) = 10
LCM(40350,40370) = ( 40350 × 40370) / 10
LCM(40350,40370) = 1628929500 / 10
LCM(40350,40370) = 162892950

Least Common Multiple (LCM) of 40350 and 40370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40350 and 40370. First we will calculate the prime factors of 40350 and 40370.

Prime Factorization of 40350

Prime Factorization of 40370

Now multiplying the highest exponent prime factors to calculate the LCM of 40350 and 40370.

LCM(40350,40370) = 2¹ × 3¹ × 5² × 269¹ × 11¹ × 367¹
LCM(40350,40370) = 162892950