What is the Least Common Multiple of 92370 and 92381?

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 92370 and 92381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92370 and 92381, than apply into the LCM equation.

GCF(92370,92381) = 1
LCM(92370,92381) = ( 92370 × 92381) / 1
LCM(92370,92381) = 8533232970 / 1
LCM(92370,92381) = 8533232970

Least Common Multiple (LCM) of 92370 and 92381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92370 and 92381. First we will calculate the prime factors of 92370 and 92381.

Prime Factorization of 92370

Prime Factorization of 92381

Now multiplying the highest exponent prime factors to calculate the LCM of 92370 and 92381.

LCM(92370,92381) = 2¹ × 3¹ × 5¹ × 3079¹ × 92381¹
LCM(92370,92381) = 8533232970