What is the Least Common Multiple of 92378 and 92396?

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 92378 and 92396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92378 and 92396, than apply into the LCM equation.

GCF(92378,92396) = 2
LCM(92378,92396) = ( 92378 × 92396) / 2
LCM(92378,92396) = 8535357688 / 2
LCM(92378,92396) = 4267678844

Least Common Multiple (LCM) of 92378 and 92396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92378 and 92396. First we will calculate the prime factors of 92378 and 92396.

Prime Factorization of 92378

Prime Factorization of 92396

Now multiplying the highest exponent prime factors to calculate the LCM of 92378 and 92396.

LCM(92378,92396) = 2² × 11¹ × 13¹ × 17¹ × 19¹ × 23099¹
LCM(92378,92396) = 4267678844