What is the Least Common Multiple of 47154 and 47170?

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 47154 and 47170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47154 and 47170, than apply into the LCM equation.

GCF(47154,47170) = 2
LCM(47154,47170) = ( 47154 × 47170) / 2
LCM(47154,47170) = 2224254180 / 2
LCM(47154,47170) = 1112127090

Least Common Multiple (LCM) of 47154 and 47170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47154 and 47170. First we will calculate the prime factors of 47154 and 47170.

Prime Factorization of 47154

Prime Factorization of 47170

Now multiplying the highest exponent prime factors to calculate the LCM of 47154 and 47170.

LCM(47154,47170) = 2¹ × 3¹ × 29¹ × 271¹ × 5¹ × 53¹ × 89¹
LCM(47154,47170) = 1112127090