What is the Least Common Multiple of 71312 and 71320?

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 71312 and 71320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71312 and 71320, than apply into the LCM equation.

GCF(71312,71320) = 8
LCM(71312,71320) = ( 71312 × 71320) / 8
LCM(71312,71320) = 5085971840 / 8
LCM(71312,71320) = 635746480

Least Common Multiple (LCM) of 71312 and 71320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71312 and 71320. First we will calculate the prime factors of 71312 and 71320.

Prime Factorization of 71312

Prime Factorization of 71320

Now multiplying the highest exponent prime factors to calculate the LCM of 71312 and 71320.

LCM(71312,71320) = 2⁴ × 4457¹ × 5¹ × 1783¹
LCM(71312,71320) = 635746480