What is the Least Common Multiple of 71496 and 71504?

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 71496 and 71504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71496 and 71504, than apply into the LCM equation.

GCF(71496,71504) = 8
LCM(71496,71504) = ( 71496 × 71504) / 8
LCM(71496,71504) = 5112249984 / 8
LCM(71496,71504) = 639031248

Least Common Multiple (LCM) of 71496 and 71504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71496 and 71504. First we will calculate the prime factors of 71496 and 71504.

Prime Factorization of 71496

Prime Factorization of 71504

Now multiplying the highest exponent prime factors to calculate the LCM of 71496 and 71504.

LCM(71496,71504) = 2⁴ × 3³ × 331¹ × 41¹ × 109¹
LCM(71496,71504) = 639031248