What is the Least Common Multiple of 92138 and 92150?

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 92138 and 92150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92138 and 92150, than apply into the LCM equation.

GCF(92138,92150) = 2
LCM(92138,92150) = ( 92138 × 92150) / 2
LCM(92138,92150) = 8490516700 / 2
LCM(92138,92150) = 4245258350

Least Common Multiple (LCM) of 92138 and 92150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92138 and 92150. First we will calculate the prime factors of 92138 and 92150.

Prime Factorization of 92138

Prime Factorization of 92150

Now multiplying the highest exponent prime factors to calculate the LCM of 92138 and 92150.

LCM(92138,92150) = 2¹ × 23¹ × 2003¹ × 5² × 19¹ × 97¹
LCM(92138,92150) = 4245258350