What is the Least Common Multiple of 65088 and 65097?

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 65088 and 65097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65088 and 65097, than apply into the LCM equation.

GCF(65088,65097) = 9
LCM(65088,65097) = ( 65088 × 65097) / 9
LCM(65088,65097) = 4237033536 / 9
LCM(65088,65097) = 470781504

Least Common Multiple (LCM) of 65088 and 65097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65088 and 65097. First we will calculate the prime factors of 65088 and 65097.

Prime Factorization of 65088

Prime Factorization of 65097

Now multiplying the highest exponent prime factors to calculate the LCM of 65088 and 65097.

LCM(65088,65097) = 2⁶ × 3³ × 113¹ × 2411¹
LCM(65088,65097) = 470781504