What is the Least Common Multiple of 90319 and 90332?

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 90319 and 90332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90319 and 90332, than apply into the LCM equation.

GCF(90319,90332) = 1
LCM(90319,90332) = ( 90319 × 90332) / 1
LCM(90319,90332) = 8158695908 / 1
LCM(90319,90332) = 8158695908

Least Common Multiple (LCM) of 90319 and 90332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90319 and 90332. First we will calculate the prime factors of 90319 and 90332.

Prime Factorization of 90319

Prime Factorization of 90332

Now multiplying the highest exponent prime factors to calculate the LCM of 90319 and 90332.

LCM(90319,90332) = 181¹ × 499¹ × 2² × 11¹ × 2053¹
LCM(90319,90332) = 8158695908