What is the Least Common Multiple of 90496 and 90509?

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 90496 and 90509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90496 and 90509, than apply into the LCM equation.

GCF(90496,90509) = 1
LCM(90496,90509) = ( 90496 × 90509) / 1
LCM(90496,90509) = 8190702464 / 1
LCM(90496,90509) = 8190702464

Least Common Multiple (LCM) of 90496 and 90509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90496 and 90509. First we will calculate the prime factors of 90496 and 90509.

Prime Factorization of 90496

Prime Factorization of 90509

Now multiplying the highest exponent prime factors to calculate the LCM of 90496 and 90509.

LCM(90496,90509) = 2⁷ × 7¹ × 101¹ × 29¹ × 3121¹
LCM(90496,90509) = 8190702464