What is the Least Common Multiple of 84640 and 84660?

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 84640 and 84660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84640 and 84660, than apply into the LCM equation.

GCF(84640,84660) = 20
LCM(84640,84660) = ( 84640 × 84660) / 20
LCM(84640,84660) = 7165622400 / 20
LCM(84640,84660) = 358281120

Least Common Multiple (LCM) of 84640 and 84660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84640 and 84660. First we will calculate the prime factors of 84640 and 84660.

Prime Factorization of 84640

Prime Factorization of 84660

Now multiplying the highest exponent prime factors to calculate the LCM of 84640 and 84660.

LCM(84640,84660) = 2⁵ × 5¹ × 23² × 3¹ × 17¹ × 83¹
LCM(84640,84660) = 358281120