What is the Least Common Multiple of 90354 and 90363?

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 90354 and 90363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90354 and 90363, than apply into the LCM equation.

GCF(90354,90363) = 3
LCM(90354,90363) = ( 90354 × 90363) / 3
LCM(90354,90363) = 8164658502 / 3
LCM(90354,90363) = 2721552834

Least Common Multiple (LCM) of 90354 and 90363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90354 and 90363. First we will calculate the prime factors of 90354 and 90363.

Prime Factorization of 90354

Prime Factorization of 90363

Now multiplying the highest exponent prime factors to calculate the LCM of 90354 and 90363.

LCM(90354,90363) = 2¹ × 3¹ × 11¹ × 37² × 7¹ × 13¹ × 331¹
LCM(90354,90363) = 2721552834