What is the Least Common Multiple of 90036 and 90048?

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 90036 and 90048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90036 and 90048, than apply into the LCM equation.

GCF(90036,90048) = 12
LCM(90036,90048) = ( 90036 × 90048) / 12
LCM(90036,90048) = 8107561728 / 12
LCM(90036,90048) = 675630144

Least Common Multiple (LCM) of 90036 and 90048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90036 and 90048. First we will calculate the prime factors of 90036 and 90048.

Prime Factorization of 90036

Prime Factorization of 90048

Now multiplying the highest exponent prime factors to calculate the LCM of 90036 and 90048.

LCM(90036,90048) = 2⁶ × 3² × 41¹ × 61¹ × 7¹ × 67¹
LCM(90036,90048) = 675630144