What is the Least Common Multiple of 71094 and 71100?

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 71094 and 71100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71094 and 71100, than apply into the LCM equation.

GCF(71094,71100) = 6
LCM(71094,71100) = ( 71094 × 71100) / 6
LCM(71094,71100) = 5054783400 / 6
LCM(71094,71100) = 842463900

Least Common Multiple (LCM) of 71094 and 71100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71094 and 71100. First we will calculate the prime factors of 71094 and 71100.

Prime Factorization of 71094

Prime Factorization of 71100

Now multiplying the highest exponent prime factors to calculate the LCM of 71094 and 71100.

LCM(71094,71100) = 2² × 3² × 17² × 41¹ × 5² × 79¹
LCM(71094,71100) = 842463900