What is the Least Common Multiple of 84154 and 84170?

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 84154 and 84170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84154 and 84170, than apply into the LCM equation.

GCF(84154,84170) = 2
LCM(84154,84170) = ( 84154 × 84170) / 2
LCM(84154,84170) = 7083242180 / 2
LCM(84154,84170) = 3541621090

Least Common Multiple (LCM) of 84154 and 84170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84154 and 84170. First we will calculate the prime factors of 84154 and 84170.

Prime Factorization of 84154

Prime Factorization of 84170

Now multiplying the highest exponent prime factors to calculate the LCM of 84154 and 84170.

LCM(84154,84170) = 2¹ × 7¹ × 6011¹ × 5¹ × 19¹ × 443¹
LCM(84154,84170) = 3541621090