What is the Least Common Multiple of 45719 and 45731?

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 45719 and 45731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45719 and 45731, than apply into the LCM equation.

GCF(45719,45731) = 1
LCM(45719,45731) = ( 45719 × 45731) / 1
LCM(45719,45731) = 2090775589 / 1
LCM(45719,45731) = 2090775589

Least Common Multiple (LCM) of 45719 and 45731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45719 and 45731. First we will calculate the prime factors of 45719 and 45731.

Prime Factorization of 45719

Prime Factorization of 45731

Now multiplying the highest exponent prime factors to calculate the LCM of 45719 and 45731.

LCM(45719,45731) = 131¹ × 349¹ × 7¹ × 47¹ × 139¹
LCM(45719,45731) = 2090775589