What is the Least Common Multiple of 84905 and 84909?

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 84905 and 84909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84905 and 84909, than apply into the LCM equation.

GCF(84905,84909) = 1
LCM(84905,84909) = ( 84905 × 84909) / 1
LCM(84905,84909) = 7209198645 / 1
LCM(84905,84909) = 7209198645

Least Common Multiple (LCM) of 84905 and 84909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84905 and 84909. First we will calculate the prime factors of 84905 and 84909.

Prime Factorization of 84905

Prime Factorization of 84909

Now multiplying the highest exponent prime factors to calculate the LCM of 84905 and 84909.

LCM(84905,84909) = 5¹ × 16981¹ × 3¹ × 11¹ × 31¹ × 83¹
LCM(84905,84909) = 7209198645