What is the Least Common Multiple of 73466 and 73482?

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 73466 and 73482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73466 and 73482, than apply into the LCM equation.

GCF(73466,73482) = 2
LCM(73466,73482) = ( 73466 × 73482) / 2
LCM(73466,73482) = 5398428612 / 2
LCM(73466,73482) = 2699214306

Least Common Multiple (LCM) of 73466 and 73482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73466 and 73482. First we will calculate the prime factors of 73466 and 73482.

Prime Factorization of 73466

Prime Factorization of 73482

Now multiplying the highest exponent prime factors to calculate the LCM of 73466 and 73482.

LCM(73466,73482) = 2¹ × 109¹ × 337¹ × 3¹ × 37¹ × 331¹
LCM(73466,73482) = 2699214306