What is the Least Common Multiple of 90234 and 90240?

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 90234 and 90240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90234 and 90240, than apply into the LCM equation.

GCF(90234,90240) = 6
LCM(90234,90240) = ( 90234 × 90240) / 6
LCM(90234,90240) = 8142716160 / 6
LCM(90234,90240) = 1357119360

Least Common Multiple (LCM) of 90234 and 90240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90234 and 90240. First we will calculate the prime factors of 90234 and 90240.

Prime Factorization of 90234

Prime Factorization of 90240

Now multiplying the highest exponent prime factors to calculate the LCM of 90234 and 90240.

LCM(90234,90240) = 2⁷ × 3⁴ × 557¹ × 5¹ × 47¹
LCM(90234,90240) = 1357119360