What is the Least Common Multiple of 73374 and 73389?

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 73374 and 73389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73374 and 73389, than apply into the LCM equation.

GCF(73374,73389) = 3
LCM(73374,73389) = ( 73374 × 73389) / 3
LCM(73374,73389) = 5384844486 / 3
LCM(73374,73389) = 1794948162

Least Common Multiple (LCM) of 73374 and 73389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73374 and 73389. First we will calculate the prime factors of 73374 and 73389.

Prime Factorization of 73374

Prime Factorization of 73389

Now multiplying the highest exponent prime factors to calculate the LCM of 73374 and 73389.

LCM(73374,73389) = 2¹ × 3¹ × 7¹ × 1747¹ × 17¹ × 1439¹
LCM(73374,73389) = 1794948162