What is the Least Common Multiple of 3145 and 3164?

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 3145 and 3164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3145 and 3164, than apply into the LCM equation.

GCF(3145,3164) = 1
LCM(3145,3164) = ( 3145 × 3164) / 1
LCM(3145,3164) = 9950780 / 1
LCM(3145,3164) = 9950780

Least Common Multiple (LCM) of 3145 and 3164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3145 and 3164. First we will calculate the prime factors of 3145 and 3164.

Prime Factorization of 3145

Prime Factorization of 3164

Now multiplying the highest exponent prime factors to calculate the LCM of 3145 and 3164.

LCM(3145,3164) = 5¹ × 17¹ × 37¹ × 2² × 7¹ × 113¹
LCM(3145,3164) = 9950780