What is the Least Common Multiple of 45380 and 45385?

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 45380 and 45385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45380 and 45385, than apply into the LCM equation.

GCF(45380,45385) = 5
LCM(45380,45385) = ( 45380 × 45385) / 5
LCM(45380,45385) = 2059571300 / 5
LCM(45380,45385) = 411914260

Least Common Multiple (LCM) of 45380 and 45385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45380 and 45385. First we will calculate the prime factors of 45380 and 45385.

Prime Factorization of 45380

Prime Factorization of 45385

Now multiplying the highest exponent prime factors to calculate the LCM of 45380 and 45385.

LCM(45380,45385) = 2² × 5¹ × 2269¹ × 29¹ × 313¹
LCM(45380,45385) = 411914260