What is the Least Common Multiple of 84112 and 84119?

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 84112 and 84119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84112 and 84119, than apply into the LCM equation.

GCF(84112,84119) = 7
LCM(84112,84119) = ( 84112 × 84119) / 7
LCM(84112,84119) = 7075417328 / 7
LCM(84112,84119) = 1010773904

Least Common Multiple (LCM) of 84112 and 84119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84112 and 84119. First we will calculate the prime factors of 84112 and 84119.

Prime Factorization of 84112

Prime Factorization of 84119

Now multiplying the highest exponent prime factors to calculate the LCM of 84112 and 84119.

LCM(84112,84119) = 2⁴ × 7¹ × 751¹ × 61¹ × 197¹
LCM(84112,84119) = 1010773904