What is the Least Common Multiple of 79170 and 79174?

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 79174 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 79174, than apply into the LCM equation.

GCF(79170,79174) = 2
LCM(79170,79174) = ( 79170 × 79174) / 2
LCM(79170,79174) = 6268205580 / 2
LCM(79170,79174) = 3134102790

Least Common Multiple (LCM) of 79170 and 79174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79170 and 79174. First we will calculate the prime factors of 79170 and 79174.

Prime Factorization of 79170

Prime Factorization of 79174

Now multiplying the highest exponent prime factors to calculate the LCM of 79170 and 79174.

LCM(79170,79174) = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 29¹ × 31¹ × 1277¹
LCM(79170,79174) = 3134102790