What is the Least Common Multiple of 79890 and 79909?

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 79890 and 79909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79890 and 79909, than apply into the LCM equation.

GCF(79890,79909) = 1
LCM(79890,79909) = ( 79890 × 79909) / 1
LCM(79890,79909) = 6383930010 / 1
LCM(79890,79909) = 6383930010

Least Common Multiple (LCM) of 79890 and 79909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79890 and 79909. First we will calculate the prime factors of 79890 and 79909.

Prime Factorization of 79890

Prime Factorization of 79909

Now multiplying the highest exponent prime factors to calculate the LCM of 79890 and 79909.

LCM(79890,79909) = 2¹ × 3¹ × 5¹ × 2663¹ × 41¹ × 1949¹
LCM(79890,79909) = 6383930010