What is the Least Common Multiple of 45435 and 45450?

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 45435 and 45450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45435 and 45450, than apply into the LCM equation.

GCF(45435,45450) = 15
LCM(45435,45450) = ( 45435 × 45450) / 15
LCM(45435,45450) = 2065020750 / 15
LCM(45435,45450) = 137668050

Least Common Multiple (LCM) of 45435 and 45450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45435 and 45450. First we will calculate the prime factors of 45435 and 45450.

Prime Factorization of 45435

Prime Factorization of 45450

Now multiplying the highest exponent prime factors to calculate the LCM of 45435 and 45450.

LCM(45435,45450) = 3² × 5² × 13¹ × 233¹ × 2¹ × 101¹
LCM(45435,45450) = 137668050