What is the Least Common Multiple of 79845 and 79850?

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 79845 and 79850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79845 and 79850, than apply into the LCM equation.

GCF(79845,79850) = 5
LCM(79845,79850) = ( 79845 × 79850) / 5
LCM(79845,79850) = 6375623250 / 5
LCM(79845,79850) = 1275124650

Least Common Multiple (LCM) of 79845 and 79850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79845 and 79850. First we will calculate the prime factors of 79845 and 79850.

Prime Factorization of 79845

Prime Factorization of 79850

Now multiplying the highest exponent prime factors to calculate the LCM of 79845 and 79850.

LCM(79845,79850) = 3¹ × 5² × 5323¹ × 2¹ × 1597¹
LCM(79845,79850) = 1275124650