What is the Least Common Multiple of 92365 and 92378?

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 92365 and 92378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92365 and 92378, than apply into the LCM equation.

GCF(92365,92378) = 13
LCM(92365,92378) = ( 92365 × 92378) / 13
LCM(92365,92378) = 8532493970 / 13
LCM(92365,92378) = 656345690

Least Common Multiple (LCM) of 92365 and 92378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92365 and 92378. First we will calculate the prime factors of 92365 and 92378.

Prime Factorization of 92365

Prime Factorization of 92378

Now multiplying the highest exponent prime factors to calculate the LCM of 92365 and 92378.

LCM(92365,92378) = 5¹ × 7² × 13¹ × 29¹ × 2¹ × 11¹ × 17¹ × 19¹
LCM(92365,92378) = 656345690