What is the Least Common Multiple of 84144 and 84148?

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 84144 and 84148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84144 and 84148, than apply into the LCM equation.

GCF(84144,84148) = 4
LCM(84144,84148) = ( 84144 × 84148) / 4
LCM(84144,84148) = 7080549312 / 4
LCM(84144,84148) = 1770137328

Least Common Multiple (LCM) of 84144 and 84148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84144 and 84148. First we will calculate the prime factors of 84144 and 84148.

Prime Factorization of 84144

Prime Factorization of 84148

Now multiplying the highest exponent prime factors to calculate the LCM of 84144 and 84148.

LCM(84144,84148) = 2⁴ × 3¹ × 1753¹ × 109¹ × 193¹
LCM(84144,84148) = 1770137328