What is the Least Common Multiple of 45135 and 45142?

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 45135 and 45142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45135 and 45142, than apply into the LCM equation.

GCF(45135,45142) = 1
LCM(45135,45142) = ( 45135 × 45142) / 1
LCM(45135,45142) = 2037484170 / 1
LCM(45135,45142) = 2037484170

Least Common Multiple (LCM) of 45135 and 45142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45135 and 45142. First we will calculate the prime factors of 45135 and 45142.

Prime Factorization of 45135

Prime Factorization of 45142

Now multiplying the highest exponent prime factors to calculate the LCM of 45135 and 45142.

LCM(45135,45142) = 3² × 5¹ × 17¹ × 59¹ × 2¹ × 22571¹
LCM(45135,45142) = 2037484170