What is the Least Common Multiple of 84090 and 84108?

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 84090 and 84108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84090 and 84108, than apply into the LCM equation.

GCF(84090,84108) = 6
LCM(84090,84108) = ( 84090 × 84108) / 6
LCM(84090,84108) = 7072641720 / 6
LCM(84090,84108) = 1178773620

Least Common Multiple (LCM) of 84090 and 84108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84090 and 84108. First we will calculate the prime factors of 84090 and 84108.

Prime Factorization of 84090

Prime Factorization of 84108

Now multiplying the highest exponent prime factors to calculate the LCM of 84090 and 84108.

LCM(84090,84108) = 2² × 3¹ × 5¹ × 2803¹ × 43¹ × 163¹
LCM(84090,84108) = 1178773620