What is the Least Common Multiple of 40288 and 40305?

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 40288 and 40305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40288 and 40305, than apply into the LCM equation.

GCF(40288,40305) = 1
LCM(40288,40305) = ( 40288 × 40305) / 1
LCM(40288,40305) = 1623807840 / 1
LCM(40288,40305) = 1623807840

Least Common Multiple (LCM) of 40288 and 40305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40288 and 40305. First we will calculate the prime factors of 40288 and 40305.

Prime Factorization of 40288

Prime Factorization of 40305

Now multiplying the highest exponent prime factors to calculate the LCM of 40288 and 40305.

LCM(40288,40305) = 2⁵ × 1259¹ × 3¹ × 5¹ × 2687¹
LCM(40288,40305) = 1623807840