What is the Least Common Multiple of 92058 and 92067?

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 92058 and 92067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92058 and 92067, than apply into the LCM equation.

GCF(92058,92067) = 3
LCM(92058,92067) = ( 92058 × 92067) / 3
LCM(92058,92067) = 8475503886 / 3
LCM(92058,92067) = 2825167962

Least Common Multiple (LCM) of 92058 and 92067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92058 and 92067. First we will calculate the prime factors of 92058 and 92067.

Prime Factorization of 92058

Prime Factorization of 92067

Now multiplying the highest exponent prime factors to calculate the LCM of 92058 and 92067.

LCM(92058,92067) = 2¹ × 3¹ × 67¹ × 229¹ × 30689¹
LCM(92058,92067) = 2825167962