What is the Least Common Multiple of 73345 and 73350?

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 73345 and 73350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73345 and 73350, than apply into the LCM equation.

GCF(73345,73350) = 5
LCM(73345,73350) = ( 73345 × 73350) / 5
LCM(73345,73350) = 5379855750 / 5
LCM(73345,73350) = 1075971150

Least Common Multiple (LCM) of 73345 and 73350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73345 and 73350. First we will calculate the prime factors of 73345 and 73350.

Prime Factorization of 73345

Prime Factorization of 73350

Now multiplying the highest exponent prime factors to calculate the LCM of 73345 and 73350.

LCM(73345,73350) = 5² × 14669¹ × 2¹ × 3² × 163¹
LCM(73345,73350) = 1075971150