What is the Least Common Multiple of 36854 and 36862?

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 36854 and 36862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36854 and 36862, than apply into the LCM equation.

GCF(36854,36862) = 2
LCM(36854,36862) = ( 36854 × 36862) / 2
LCM(36854,36862) = 1358512148 / 2
LCM(36854,36862) = 679256074

Least Common Multiple (LCM) of 36854 and 36862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36854 and 36862. First we will calculate the prime factors of 36854 and 36862.

Prime Factorization of 36854

Prime Factorization of 36862

Now multiplying the highest exponent prime factors to calculate the LCM of 36854 and 36862.

LCM(36854,36862) = 2¹ × 18427¹ × 7¹ × 2633¹
LCM(36854,36862) = 679256074