What is the Least Common Multiple of 79830 and 79845?

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 79830 and 79845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79830 and 79845, than apply into the LCM equation.

GCF(79830,79845) = 15
LCM(79830,79845) = ( 79830 × 79845) / 15
LCM(79830,79845) = 6374026350 / 15
LCM(79830,79845) = 424935090

Least Common Multiple (LCM) of 79830 and 79845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79830 and 79845. First we will calculate the prime factors of 79830 and 79845.

Prime Factorization of 79830

Prime Factorization of 79845

Now multiplying the highest exponent prime factors to calculate the LCM of 79830 and 79845.

LCM(79830,79845) = 2¹ × 3² × 5¹ × 887¹ × 5323¹
LCM(79830,79845) = 424935090