What is the Least Common Multiple of 90336 and 90342?

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 90336 and 90342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90336 and 90342, than apply into the LCM equation.

GCF(90336,90342) = 6
LCM(90336,90342) = ( 90336 × 90342) / 6
LCM(90336,90342) = 8161134912 / 6
LCM(90336,90342) = 1360189152

Least Common Multiple (LCM) of 90336 and 90342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90336 and 90342. First we will calculate the prime factors of 90336 and 90342.

Prime Factorization of 90336

Prime Factorization of 90342

Now multiplying the highest exponent prime factors to calculate the LCM of 90336 and 90342.

LCM(90336,90342) = 2⁵ × 3³ × 941¹ × 7¹ × 239¹
LCM(90336,90342) = 1360189152