What is the Least Common Multiple of 79156 and 79170?

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 79156 and 79170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79156 and 79170, than apply into the LCM equation.

GCF(79156,79170) = 14
LCM(79156,79170) = ( 79156 × 79170) / 14
LCM(79156,79170) = 6266780520 / 14
LCM(79156,79170) = 447627180

Least Common Multiple (LCM) of 79156 and 79170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79156 and 79170. First we will calculate the prime factors of 79156 and 79170.

Prime Factorization of 79156

Prime Factorization of 79170

Now multiplying the highest exponent prime factors to calculate the LCM of 79156 and 79170.

LCM(79156,79170) = 2² × 7¹ × 11¹ × 257¹ × 3¹ × 5¹ × 13¹ × 29¹
LCM(79156,79170) = 447627180