What is the Least Common Multiple of 40410 and 40425?

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 40410 and 40425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40410 and 40425, than apply into the LCM equation.

GCF(40410,40425) = 15
LCM(40410,40425) = ( 40410 × 40425) / 15
LCM(40410,40425) = 1633574250 / 15
LCM(40410,40425) = 108904950

Least Common Multiple (LCM) of 40410 and 40425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40410 and 40425. First we will calculate the prime factors of 40410 and 40425.

Prime Factorization of 40410

Prime Factorization of 40425

Now multiplying the highest exponent prime factors to calculate the LCM of 40410 and 40425.

LCM(40410,40425) = 2¹ × 3² × 5² × 449¹ × 7² × 11¹
LCM(40410,40425) = 108904950