What is the Least Common Multiple of 91368 and 91378?

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 91368 and 91378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91368 and 91378, than apply into the LCM equation.

GCF(91368,91378) = 2
LCM(91368,91378) = ( 91368 × 91378) / 2
LCM(91368,91378) = 8349025104 / 2
LCM(91368,91378) = 4174512552

Least Common Multiple (LCM) of 91368 and 91378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91368 and 91378. First we will calculate the prime factors of 91368 and 91378.

Prime Factorization of 91368

Prime Factorization of 91378

Now multiplying the highest exponent prime factors to calculate the LCM of 91368 and 91378.

LCM(91368,91378) = 2³ × 3⁵ × 47¹ × 7¹ × 61¹ × 107¹
LCM(91368,91378) = 4174512552