What is the Least Common Multiple of 84660 and 84666?

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 84666 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 84666, than apply into the LCM equation.

GCF(84660,84666) = 6
LCM(84660,84666) = ( 84660 × 84666) / 6
LCM(84660,84666) = 7167823560 / 6
LCM(84660,84666) = 1194637260

Least Common Multiple (LCM) of 84660 and 84666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84660 and 84666. First we will calculate the prime factors of 84660 and 84666.

Prime Factorization of 84660

Prime Factorization of 84666

Now multiplying the highest exponent prime factors to calculate the LCM of 84660 and 84666.

LCM(84660,84666) = 2² × 3¹ × 5¹ × 17¹ × 83¹ × 103¹ × 137¹
LCM(84660,84666) = 1194637260