What is the Least Common Multiple of 90435 and 90450?

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 90435 and 90450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90435 and 90450, than apply into the LCM equation.

GCF(90435,90450) = 15
LCM(90435,90450) = ( 90435 × 90450) / 15
LCM(90435,90450) = 8179845750 / 15
LCM(90435,90450) = 545323050

Least Common Multiple (LCM) of 90435 and 90450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90435 and 90450. First we will calculate the prime factors of 90435 and 90450.

Prime Factorization of 90435

Prime Factorization of 90450

Now multiplying the highest exponent prime factors to calculate the LCM of 90435 and 90450.

LCM(90435,90450) = 3³ × 5² × 6029¹ × 2¹ × 67¹
LCM(90435,90450) = 545323050