What is the Least Common Multiple of 45399 and 45413?

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 45399 and 45413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45399 and 45413, than apply into the LCM equation.

GCF(45399,45413) = 1
LCM(45399,45413) = ( 45399 × 45413) / 1
LCM(45399,45413) = 2061704787 / 1
LCM(45399,45413) = 2061704787

Least Common Multiple (LCM) of 45399 and 45413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45399 and 45413. First we will calculate the prime factors of 45399 and 45413.

Prime Factorization of 45399

Prime Factorization of 45413

Now multiplying the highest exponent prime factors to calculate the LCM of 45399 and 45413.

LCM(45399,45413) = 3¹ × 37¹ × 409¹ × 45413¹
LCM(45399,45413) = 2061704787