What is the Least Common Multiple of 84156 and 84176?

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 84156 and 84176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84156 and 84176, than apply into the LCM equation.

GCF(84156,84176) = 4
LCM(84156,84176) = ( 84156 × 84176) / 4
LCM(84156,84176) = 7083915456 / 4
LCM(84156,84176) = 1770978864

Least Common Multiple (LCM) of 84156 and 84176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84156 and 84176. First we will calculate the prime factors of 84156 and 84176.

Prime Factorization of 84156

Prime Factorization of 84176

Now multiplying the highest exponent prime factors to calculate the LCM of 84156 and 84176.

LCM(84156,84176) = 2⁴ × 3¹ × 7013¹ × 5261¹
LCM(84156,84176) = 1770978864