What is the Least Common Multiple of 90450 and 90464?

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 90450 and 90464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90450 and 90464, than apply into the LCM equation.

GCF(90450,90464) = 2
LCM(90450,90464) = ( 90450 × 90464) / 2
LCM(90450,90464) = 8182468800 / 2
LCM(90450,90464) = 4091234400

Least Common Multiple (LCM) of 90450 and 90464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90450 and 90464. First we will calculate the prime factors of 90450 and 90464.

Prime Factorization of 90450

Prime Factorization of 90464

Now multiplying the highest exponent prime factors to calculate the LCM of 90450 and 90464.

LCM(90450,90464) = 2⁵ × 3³ × 5² × 67¹ × 11¹ × 257¹
LCM(90450,90464) = 4091234400