What is the Least Common Multiple of 45457 and 45461?

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 45457 and 45461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45457 and 45461, than apply into the LCM equation.

GCF(45457,45461) = 1
LCM(45457,45461) = ( 45457 × 45461) / 1
LCM(45457,45461) = 2066520677 / 1
LCM(45457,45461) = 2066520677

Least Common Multiple (LCM) of 45457 and 45461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45457 and 45461. First we will calculate the prime factors of 45457 and 45461.

Prime Factorization of 45457

Prime Factorization of 45461

Now multiplying the highest exponent prime factors to calculate the LCM of 45457 and 45461.

LCM(45457,45461) = 131¹ × 347¹ × 13² × 269¹
LCM(45457,45461) = 2066520677