What is the Least Common Multiple of 84140 and 84160?

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 84140 and 84160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84140 and 84160, than apply into the LCM equation.

GCF(84140,84160) = 20
LCM(84140,84160) = ( 84140 × 84160) / 20
LCM(84140,84160) = 7081222400 / 20
LCM(84140,84160) = 354061120

Least Common Multiple (LCM) of 84140 and 84160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84140 and 84160. First we will calculate the prime factors of 84140 and 84160.

Prime Factorization of 84140

Prime Factorization of 84160

Now multiplying the highest exponent prime factors to calculate the LCM of 84140 and 84160.

LCM(84140,84160) = 2⁶ × 5¹ × 7¹ × 601¹ × 263¹
LCM(84140,84160) = 354061120