What is the Least Common Multiple of 78160 and 78176?

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 78160 and 78176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78160 and 78176, than apply into the LCM equation.

GCF(78160,78176) = 16
LCM(78160,78176) = ( 78160 × 78176) / 16
LCM(78160,78176) = 6110236160 / 16
LCM(78160,78176) = 381889760

Least Common Multiple (LCM) of 78160 and 78176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78160 and 78176. First we will calculate the prime factors of 78160 and 78176.

Prime Factorization of 78160

Prime Factorization of 78176

Now multiplying the highest exponent prime factors to calculate the LCM of 78160 and 78176.

LCM(78160,78176) = 2⁵ × 5¹ × 977¹ × 7¹ × 349¹
LCM(78160,78176) = 381889760