What is the Least Common Multiple of 65040 and 65055?

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 65040 and 65055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65040 and 65055, than apply into the LCM equation.

GCF(65040,65055) = 15
LCM(65040,65055) = ( 65040 × 65055) / 15
LCM(65040,65055) = 4231177200 / 15
LCM(65040,65055) = 282078480

Least Common Multiple (LCM) of 65040 and 65055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65040 and 65055. First we will calculate the prime factors of 65040 and 65055.

Prime Factorization of 65040

Prime Factorization of 65055

Now multiplying the highest exponent prime factors to calculate the LCM of 65040 and 65055.

LCM(65040,65055) = 2⁴ × 3¹ × 5¹ × 271¹ × 4337¹
LCM(65040,65055) = 282078480