What is the Least Common Multiple of 73389 and 73398?

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 73389 and 73398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73389 and 73398, than apply into the LCM equation.

GCF(73389,73398) = 3
LCM(73389,73398) = ( 73389 × 73398) / 3
LCM(73389,73398) = 5386605822 / 3
LCM(73389,73398) = 1795535274

Least Common Multiple (LCM) of 73389 and 73398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73389 and 73398. First we will calculate the prime factors of 73389 and 73398.

Prime Factorization of 73389

Prime Factorization of 73398

Now multiplying the highest exponent prime factors to calculate the LCM of 73389 and 73398.

LCM(73389,73398) = 3¹ × 17¹ × 1439¹ × 2¹ × 13¹ × 941¹
LCM(73389,73398) = 1795535274