What is the Least Common Multiple of 45270 and 45285?

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 45270 and 45285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45270 and 45285, than apply into the LCM equation.

GCF(45270,45285) = 15
LCM(45270,45285) = ( 45270 × 45285) / 15
LCM(45270,45285) = 2050051950 / 15
LCM(45270,45285) = 136670130

Least Common Multiple (LCM) of 45270 and 45285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45270 and 45285. First we will calculate the prime factors of 45270 and 45285.

Prime Factorization of 45270

Prime Factorization of 45285

Now multiplying the highest exponent prime factors to calculate the LCM of 45270 and 45285.

LCM(45270,45285) = 2¹ × 3² × 5¹ × 503¹ × 3019¹
LCM(45270,45285) = 136670130