What is the Least Common Multiple of 91338 and 91347?

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 91338 and 91347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91338 and 91347, than apply into the LCM equation.

GCF(91338,91347) = 3
LCM(91338,91347) = ( 91338 × 91347) / 3
LCM(91338,91347) = 8343452286 / 3
LCM(91338,91347) = 2781150762

Least Common Multiple (LCM) of 91338 and 91347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91338 and 91347. First we will calculate the prime factors of 91338 and 91347.

Prime Factorization of 91338

Prime Factorization of 91347

Now multiplying the highest exponent prime factors to calculate the LCM of 91338 and 91347.

LCM(91338,91347) = 2¹ × 3¹ × 13¹ × 1171¹ × 30449¹
LCM(91338,91347) = 2781150762