What is the Least Common Multiple of 90540 and 90558?

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 90540 and 90558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90540 and 90558, than apply into the LCM equation.

GCF(90540,90558) = 18
LCM(90540,90558) = ( 90540 × 90558) / 18
LCM(90540,90558) = 8199121320 / 18
LCM(90540,90558) = 455506740

Least Common Multiple (LCM) of 90540 and 90558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90540 and 90558. First we will calculate the prime factors of 90540 and 90558.

Prime Factorization of 90540

Prime Factorization of 90558

Now multiplying the highest exponent prime factors to calculate the LCM of 90540 and 90558.

LCM(90540,90558) = 2² × 3⁴ × 5¹ × 503¹ × 13¹ × 43¹
LCM(90540,90558) = 455506740