What is the Least Common Multiple of 71152 and 71171?

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 71152 and 71171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71152 and 71171, than apply into the LCM equation.

GCF(71152,71171) = 1
LCM(71152,71171) = ( 71152 × 71171) / 1
LCM(71152,71171) = 5063958992 / 1
LCM(71152,71171) = 5063958992

Least Common Multiple (LCM) of 71152 and 71171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71152 and 71171. First we will calculate the prime factors of 71152 and 71171.

Prime Factorization of 71152

Prime Factorization of 71171

Now multiplying the highest exponent prime factors to calculate the LCM of 71152 and 71171.

LCM(71152,71171) = 2⁴ × 4447¹ × 71171¹
LCM(71152,71171) = 5063958992