What is the Least Common Multiple of 92378 and 92385?

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 92385 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 92385, than apply into the LCM equation.

GCF(92378,92385) = 1
LCM(92378,92385) = ( 92378 × 92385) / 1
LCM(92378,92385) = 8534341530 / 1
LCM(92378,92385) = 8534341530

Least Common Multiple (LCM) of 92378 and 92385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92378 and 92385. First we will calculate the prime factors of 92378 and 92385.

Prime Factorization of 92378

Prime Factorization of 92385

Now multiplying the highest exponent prime factors to calculate the LCM of 92378 and 92385.

LCM(92378,92385) = 2¹ × 11¹ × 13¹ × 17¹ × 19¹ × 3² × 5¹ × 2053¹
LCM(92378,92385) = 8534341530