What is the Least Common Multiple of 92850 and 92862?

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 92850 and 92862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92850 and 92862, than apply into the LCM equation.

GCF(92850,92862) = 6
LCM(92850,92862) = ( 92850 × 92862) / 6
LCM(92850,92862) = 8622236700 / 6
LCM(92850,92862) = 1437039450

Least Common Multiple (LCM) of 92850 and 92862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92850 and 92862. First we will calculate the prime factors of 92850 and 92862.

Prime Factorization of 92850

Prime Factorization of 92862

Now multiplying the highest exponent prime factors to calculate the LCM of 92850 and 92862.

LCM(92850,92862) = 2¹ × 3² × 5² × 619¹ × 7¹ × 11¹ × 67¹
LCM(92850,92862) = 1437039450