What is the Least Common Multiple of 84070 and 84086?

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 84070 and 84086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84070 and 84086, than apply into the LCM equation.

GCF(84070,84086) = 2
LCM(84070,84086) = ( 84070 × 84086) / 2
LCM(84070,84086) = 7069110020 / 2
LCM(84070,84086) = 3534555010

Least Common Multiple (LCM) of 84070 and 84086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84070 and 84086. First we will calculate the prime factors of 84070 and 84086.

Prime Factorization of 84070

Prime Factorization of 84086

Now multiplying the highest exponent prime factors to calculate the LCM of 84070 and 84086.

LCM(84070,84086) = 2¹ × 5¹ × 7¹ × 1201¹ × 42043¹
LCM(84070,84086) = 3534555010