What is the Least Common Multiple of 77331 and 77347?

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 77331 and 77347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77331 and 77347, than apply into the LCM equation.

GCF(77331,77347) = 1
LCM(77331,77347) = ( 77331 × 77347) / 1
LCM(77331,77347) = 5981320857 / 1
LCM(77331,77347) = 5981320857

Least Common Multiple (LCM) of 77331 and 77347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77331 and 77347. First we will calculate the prime factors of 77331 and 77347.

Prime Factorization of 77331

Prime Factorization of 77347

Now multiplying the highest exponent prime factors to calculate the LCM of 77331 and 77347.

LCM(77331,77347) = 3¹ × 149¹ × 173¹ × 77347¹
LCM(77331,77347) = 5981320857