What is the Least Common Multiple of 91413 and 91427?

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 91413 and 91427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91413 and 91427, than apply into the LCM equation.

GCF(91413,91427) = 7
LCM(91413,91427) = ( 91413 × 91427) / 7
LCM(91413,91427) = 8357616351 / 7
LCM(91413,91427) = 1193945193

Least Common Multiple (LCM) of 91413 and 91427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91413 and 91427. First we will calculate the prime factors of 91413 and 91427.

Prime Factorization of 91413

Prime Factorization of 91427

Now multiplying the highest exponent prime factors to calculate the LCM of 91413 and 91427.

LCM(91413,91427) = 3² × 7¹ × 1451¹ × 37¹ × 353¹
LCM(91413,91427) = 1193945193