What is the Least Common Multiple of 65193 and 65208?

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 65193 and 65208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65193 and 65208, than apply into the LCM equation.

GCF(65193,65208) = 3
LCM(65193,65208) = ( 65193 × 65208) / 3
LCM(65193,65208) = 4251105144 / 3
LCM(65193,65208) = 1417035048

Least Common Multiple (LCM) of 65193 and 65208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65193 and 65208. First we will calculate the prime factors of 65193 and 65208.

Prime Factorization of 65193

Prime Factorization of 65208

Now multiplying the highest exponent prime factors to calculate the LCM of 65193 and 65208.

LCM(65193,65208) = 3¹ × 31¹ × 701¹ × 2³ × 11¹ × 13¹ × 19¹
LCM(65193,65208) = 1417035048