What is the Least Common Multiple of 45555 and 45565?

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 45555 and 45565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45555 and 45565, than apply into the LCM equation.

GCF(45555,45565) = 5
LCM(45555,45565) = ( 45555 × 45565) / 5
LCM(45555,45565) = 2075713575 / 5
LCM(45555,45565) = 415142715

Least Common Multiple (LCM) of 45555 and 45565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45555 and 45565. First we will calculate the prime factors of 45555 and 45565.

Prime Factorization of 45555

Prime Factorization of 45565

Now multiplying the highest exponent prime factors to calculate the LCM of 45555 and 45565.

LCM(45555,45565) = 3¹ × 5¹ × 3037¹ × 13¹ × 701¹
LCM(45555,45565) = 415142715