What is the Least Common Multiple of 78150 and 78170?

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 78150 and 78170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78150 and 78170, than apply into the LCM equation.

GCF(78150,78170) = 10
LCM(78150,78170) = ( 78150 × 78170) / 10
LCM(78150,78170) = 6108985500 / 10
LCM(78150,78170) = 610898550

Least Common Multiple (LCM) of 78150 and 78170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78150 and 78170. First we will calculate the prime factors of 78150 and 78170.

Prime Factorization of 78150

Prime Factorization of 78170

Now multiplying the highest exponent prime factors to calculate the LCM of 78150 and 78170.

LCM(78150,78170) = 2¹ × 3¹ × 5² × 521¹ × 7817¹
LCM(78150,78170) = 610898550