What is the Least Common Multiple of 92850 and 92854?

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 92854 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 92854, than apply into the LCM equation.

GCF(92850,92854) = 2
LCM(92850,92854) = ( 92850 × 92854) / 2
LCM(92850,92854) = 8621493900 / 2
LCM(92850,92854) = 4310746950

Least Common Multiple (LCM) of 92850 and 92854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92850 and 92854. First we will calculate the prime factors of 92850 and 92854.

Prime Factorization of 92850

Prime Factorization of 92854

Now multiplying the highest exponent prime factors to calculate the LCM of 92850 and 92854.

LCM(92850,92854) = 2¹ × 3¹ × 5² × 619¹ × 17¹ × 2731¹
LCM(92850,92854) = 4310746950