What is the Least Common Multiple of 79170 and 79184?

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 79170 and 79184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79170 and 79184, than apply into the LCM equation.

GCF(79170,79184) = 14
LCM(79170,79184) = ( 79170 × 79184) / 14
LCM(79170,79184) = 6268997280 / 14
LCM(79170,79184) = 447785520

Least Common Multiple (LCM) of 79170 and 79184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79170 and 79184. First we will calculate the prime factors of 79170 and 79184.

Prime Factorization of 79170

Prime Factorization of 79184

Now multiplying the highest exponent prime factors to calculate the LCM of 79170 and 79184.

LCM(79170,79184) = 2⁴ × 3¹ × 5¹ × 7² × 13¹ × 29¹ × 101¹
LCM(79170,79184) = 447785520