What is the Least Common Multiple of 90360 and 90372?

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 90360 and 90372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90360 and 90372, than apply into the LCM equation.

GCF(90360,90372) = 12
LCM(90360,90372) = ( 90360 × 90372) / 12
LCM(90360,90372) = 8166013920 / 12
LCM(90360,90372) = 680501160

Least Common Multiple (LCM) of 90360 and 90372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90360 and 90372. First we will calculate the prime factors of 90360 and 90372.

Prime Factorization of 90360

Prime Factorization of 90372

Now multiplying the highest exponent prime factors to calculate the LCM of 90360 and 90372.

LCM(90360,90372) = 2³ × 3² × 5¹ × 251¹ × 17¹ × 443¹
LCM(90360,90372) = 680501160