What is the Least Common Multiple of 78140 and 78150?

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 78140 and 78150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78140 and 78150, than apply into the LCM equation.

GCF(78140,78150) = 10
LCM(78140,78150) = ( 78140 × 78150) / 10
LCM(78140,78150) = 6106641000 / 10
LCM(78140,78150) = 610664100

Least Common Multiple (LCM) of 78140 and 78150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78140 and 78150. First we will calculate the prime factors of 78140 and 78150.

Prime Factorization of 78140

Prime Factorization of 78150

Now multiplying the highest exponent prime factors to calculate the LCM of 78140 and 78150.

LCM(78140,78150) = 2² × 5² × 3907¹ × 3¹ × 521¹
LCM(78140,78150) = 610664100