What is the Least Common Multiple of 11479 and 11485?

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 11479 and 11485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11479 and 11485, than apply into the LCM equation.

GCF(11479,11485) = 1
LCM(11479,11485) = ( 11479 × 11485) / 1
LCM(11479,11485) = 131836315 / 1
LCM(11479,11485) = 131836315

Least Common Multiple (LCM) of 11479 and 11485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11479 and 11485. First we will calculate the prime factors of 11479 and 11485.

Prime Factorization of 11479

Prime Factorization of 11485

Now multiplying the highest exponent prime factors to calculate the LCM of 11479 and 11485.

LCM(11479,11485) = 13¹ × 883¹ × 5¹ × 2297¹
LCM(11479,11485) = 131836315