What is the Least Common Multiple of 71292 and 71312?

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 71292 and 71312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71292 and 71312, than apply into the LCM equation.

GCF(71292,71312) = 4
LCM(71292,71312) = ( 71292 × 71312) / 4
LCM(71292,71312) = 5083975104 / 4
LCM(71292,71312) = 1270993776

Least Common Multiple (LCM) of 71292 and 71312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71292 and 71312. First we will calculate the prime factors of 71292 and 71312.

Prime Factorization of 71292

Prime Factorization of 71312

Now multiplying the highest exponent prime factors to calculate the LCM of 71292 and 71312.

LCM(71292,71312) = 2⁴ × 3¹ × 13¹ × 457¹ × 4457¹
LCM(71292,71312) = 1270993776