What is the Least Common Multiple of 84660 and 84668?

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 84660 and 84668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84660 and 84668, than apply into the LCM equation.

GCF(84660,84668) = 4
LCM(84660,84668) = ( 84660 × 84668) / 4
LCM(84660,84668) = 7167992880 / 4
LCM(84660,84668) = 1791998220

Least Common Multiple (LCM) of 84660 and 84668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84660 and 84668. First we will calculate the prime factors of 84660 and 84668.

Prime Factorization of 84660

Prime Factorization of 84668

Now multiplying the highest exponent prime factors to calculate the LCM of 84660 and 84668.

LCM(84660,84668) = 2² × 3¹ × 5¹ × 17¹ × 83¹ × 61¹ × 347¹
LCM(84660,84668) = 1791998220