What is the Least Common Multiple of 92358 and 92374?

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 92358 and 92374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92358 and 92374, than apply into the LCM equation.

GCF(92358,92374) = 2
LCM(92358,92374) = ( 92358 × 92374) / 2
LCM(92358,92374) = 8531477892 / 2
LCM(92358,92374) = 4265738946

Least Common Multiple (LCM) of 92358 and 92374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92358 and 92374. First we will calculate the prime factors of 92358 and 92374.

Prime Factorization of 92358

Prime Factorization of 92374

Now multiplying the highest exponent prime factors to calculate the LCM of 92358 and 92374.

LCM(92358,92374) = 2¹ × 3² × 7¹ × 733¹ × 46187¹
LCM(92358,92374) = 4265738946