What is the Least Common Multiple of 11465 and 11483?

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 11465 and 11483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11465 and 11483, than apply into the LCM equation.

GCF(11465,11483) = 1
LCM(11465,11483) = ( 11465 × 11483) / 1
LCM(11465,11483) = 131652595 / 1
LCM(11465,11483) = 131652595

Least Common Multiple (LCM) of 11465 and 11483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11465 and 11483. First we will calculate the prime factors of 11465 and 11483.

Prime Factorization of 11465

Prime Factorization of 11483

Now multiplying the highest exponent prime factors to calculate the LCM of 11465 and 11483.

LCM(11465,11483) = 5¹ × 2293¹ × 11483¹
LCM(11465,11483) = 131652595