What is the Least Common Multiple of 71136 and 71148?

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 71136 and 71148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71136 and 71148, than apply into the LCM equation.

GCF(71136,71148) = 12
LCM(71136,71148) = ( 71136 × 71148) / 12
LCM(71136,71148) = 5061184128 / 12
LCM(71136,71148) = 421765344

Least Common Multiple (LCM) of 71136 and 71148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71136 and 71148. First we will calculate the prime factors of 71136 and 71148.

Prime Factorization of 71136

Prime Factorization of 71148

Now multiplying the highest exponent prime factors to calculate the LCM of 71136 and 71148.

LCM(71136,71148) = 2⁵ × 3² × 13¹ × 19¹ × 7² × 11²
LCM(71136,71148) = 421765344