What is the Least Common Multiple of 71168 and 71188?

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 71168 and 71188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71168 and 71188, than apply into the LCM equation.

GCF(71168,71188) = 4
LCM(71168,71188) = ( 71168 × 71188) / 4
LCM(71168,71188) = 5066307584 / 4
LCM(71168,71188) = 1266576896

Least Common Multiple (LCM) of 71168 and 71188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71168 and 71188. First we will calculate the prime factors of 71168 and 71188.

Prime Factorization of 71168

Prime Factorization of 71188

Now multiplying the highest exponent prime factors to calculate the LCM of 71168 and 71188.

LCM(71168,71188) = 2⁹ × 139¹ × 13¹ × 37²
LCM(71168,71188) = 1266576896