What is the Least Common Multiple of 71485 and 71496?

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 71485 and 71496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71485 and 71496, than apply into the LCM equation.

GCF(71485,71496) = 1
LCM(71485,71496) = ( 71485 × 71496) / 1
LCM(71485,71496) = 5110891560 / 1
LCM(71485,71496) = 5110891560

Least Common Multiple (LCM) of 71485 and 71496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71485 and 71496. First we will calculate the prime factors of 71485 and 71496.

Prime Factorization of 71485

Prime Factorization of 71496

Now multiplying the highest exponent prime factors to calculate the LCM of 71485 and 71496.

LCM(71485,71496) = 5¹ × 17¹ × 29² × 2³ × 3³ × 331¹
LCM(71485,71496) = 5110891560