What is the Least Common Multiple of 73332 and 73351?

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 73332 and 73351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73332 and 73351, than apply into the LCM equation.

GCF(73332,73351) = 1
LCM(73332,73351) = ( 73332 × 73351) / 1
LCM(73332,73351) = 5378975532 / 1
LCM(73332,73351) = 5378975532

Least Common Multiple (LCM) of 73332 and 73351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73332 and 73351. First we will calculate the prime factors of 73332 and 73351.

Prime Factorization of 73332

Prime Factorization of 73351

Now multiplying the highest exponent prime factors to calculate the LCM of 73332 and 73351.

LCM(73332,73351) = 2² × 3³ × 7¹ × 97¹ × 73351¹
LCM(73332,73351) = 5378975532