What is the Least Common Multiple of 65501 and 65518?

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 65501 and 65518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65501 and 65518, than apply into the LCM equation.

GCF(65501,65518) = 17
LCM(65501,65518) = ( 65501 × 65518) / 17
LCM(65501,65518) = 4291494518 / 17
LCM(65501,65518) = 252440854

Least Common Multiple (LCM) of 65501 and 65518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65501 and 65518. First we will calculate the prime factors of 65501 and 65518.

Prime Factorization of 65501

Prime Factorization of 65518

Now multiplying the highest exponent prime factors to calculate the LCM of 65501 and 65518.

LCM(65501,65518) = 17¹ × 3853¹ × 2¹ × 41¹ × 47¹
LCM(65501,65518) = 252440854