What is the Least Common Multiple of 79170 and 79178?

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 79178 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 79178, than apply into the LCM equation.

GCF(79170,79178) = 2
LCM(79170,79178) = ( 79170 × 79178) / 2
LCM(79170,79178) = 6268522260 / 2
LCM(79170,79178) = 3134261130

Least Common Multiple (LCM) of 79170 and 79178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79170 and 79178. First we will calculate the prime factors of 79170 and 79178.

Prime Factorization of 79170

Prime Factorization of 79178

Now multiplying the highest exponent prime factors to calculate the LCM of 79170 and 79178.

LCM(79170,79178) = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 29¹ × 11¹ × 59¹ × 61¹
LCM(79170,79178) = 3134261130