What is the Least Common Multiple of 73476 and 73488?

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 73476 and 73488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73476 and 73488, than apply into the LCM equation.

GCF(73476,73488) = 12
LCM(73476,73488) = ( 73476 × 73488) / 12
LCM(73476,73488) = 5399604288 / 12
LCM(73476,73488) = 449967024

Least Common Multiple (LCM) of 73476 and 73488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73476 and 73488. First we will calculate the prime factors of 73476 and 73488.

Prime Factorization of 73476

Prime Factorization of 73488

Now multiplying the highest exponent prime factors to calculate the LCM of 73476 and 73488.

LCM(73476,73488) = 2⁴ × 3² × 13¹ × 157¹ × 1531¹
LCM(73476,73488) = 449967024