What is the Least Common Multiple of 45252 and 45270?

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 45252 and 45270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45252 and 45270, than apply into the LCM equation.

GCF(45252,45270) = 18
LCM(45252,45270) = ( 45252 × 45270) / 18
LCM(45252,45270) = 2048558040 / 18
LCM(45252,45270) = 113808780

Least Common Multiple (LCM) of 45252 and 45270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45252 and 45270. First we will calculate the prime factors of 45252 and 45270.

Prime Factorization of 45252

Prime Factorization of 45270

Now multiplying the highest exponent prime factors to calculate the LCM of 45252 and 45270.

LCM(45252,45270) = 2² × 3³ × 419¹ × 5¹ × 503¹
LCM(45252,45270) = 113808780