What is the Least Common Multiple of 90459 and 90465?

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 90459 and 90465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90459 and 90465, than apply into the LCM equation.

GCF(90459,90465) = 3
LCM(90459,90465) = ( 90459 × 90465) / 3
LCM(90459,90465) = 8183373435 / 3
LCM(90459,90465) = 2727791145

Least Common Multiple (LCM) of 90459 and 90465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90459 and 90465. First we will calculate the prime factors of 90459 and 90465.

Prime Factorization of 90459

Prime Factorization of 90465

Now multiplying the highest exponent prime factors to calculate the LCM of 90459 and 90465.

LCM(90459,90465) = 3² × 19¹ × 23² × 5¹ × 37¹ × 163¹
LCM(90459,90465) = 2727791145