What is the Least Common Multiple of 73488 and 73508?

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 73488 and 73508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73488 and 73508, than apply into the LCM equation.

GCF(73488,73508) = 4
LCM(73488,73508) = ( 73488 × 73508) / 4
LCM(73488,73508) = 5401955904 / 4
LCM(73488,73508) = 1350488976

Least Common Multiple (LCM) of 73488 and 73508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73488 and 73508. First we will calculate the prime factors of 73488 and 73508.

Prime Factorization of 73488

Prime Factorization of 73508

Now multiplying the highest exponent prime factors to calculate the LCM of 73488 and 73508.

LCM(73488,73508) = 2⁴ × 3¹ × 1531¹ × 17¹ × 23¹ × 47¹
LCM(73488,73508) = 1350488976