What is the Least Common Multiple of 90409 and 90428?

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 90409 and 90428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90409 and 90428, than apply into the LCM equation.

GCF(90409,90428) = 1
LCM(90409,90428) = ( 90409 × 90428) / 1
LCM(90409,90428) = 8175505052 / 1
LCM(90409,90428) = 8175505052

Least Common Multiple (LCM) of 90409 and 90428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90409 and 90428. First we will calculate the prime factors of 90409 and 90428.

Prime Factorization of 90409

Prime Factorization of 90428

Now multiplying the highest exponent prime factors to calculate the LCM of 90409 and 90428.

LCM(90409,90428) = 11¹ × 8219¹ × 2² × 13¹ × 37¹ × 47¹
LCM(90409,90428) = 8175505052