What is the Least Common Multiple of 78170 and 78181?

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 78170 and 78181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78170 and 78181, than apply into the LCM equation.

GCF(78170,78181) = 1
LCM(78170,78181) = ( 78170 × 78181) / 1
LCM(78170,78181) = 6111408770 / 1
LCM(78170,78181) = 6111408770

Least Common Multiple (LCM) of 78170 and 78181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78170 and 78181. First we will calculate the prime factors of 78170 and 78181.

Prime Factorization of 78170

Prime Factorization of 78181

Now multiplying the highest exponent prime factors to calculate the LCM of 78170 and 78181.

LCM(78170,78181) = 2¹ × 5¹ × 7817¹ × 37¹ × 2113¹
LCM(78170,78181) = 6111408770