What is the Least Common Multiple of 78393 and 78411?

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 78393 and 78411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78393 and 78411, than apply into the LCM equation.

GCF(78393,78411) = 3
LCM(78393,78411) = ( 78393 × 78411) / 3
LCM(78393,78411) = 6146873523 / 3
LCM(78393,78411) = 2048957841

Least Common Multiple (LCM) of 78393 and 78411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78393 and 78411. First we will calculate the prime factors of 78393 and 78411.

Prime Factorization of 78393

Prime Factorization of 78411

Now multiplying the highest exponent prime factors to calculate the LCM of 78393 and 78411.

LCM(78393,78411) = 3¹ × 7¹ × 3733¹ × 59¹ × 443¹
LCM(78393,78411) = 2048957841