What is the Least Common Multiple of 65310 and 65319?

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 65310 and 65319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65310 and 65319, than apply into the LCM equation.

GCF(65310,65319) = 3
LCM(65310,65319) = ( 65310 × 65319) / 3
LCM(65310,65319) = 4265983890 / 3
LCM(65310,65319) = 1421994630

Least Common Multiple (LCM) of 65310 and 65319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65310 and 65319. First we will calculate the prime factors of 65310 and 65319.

Prime Factorization of 65310

Prime Factorization of 65319

Now multiplying the highest exponent prime factors to calculate the LCM of 65310 and 65319.

LCM(65310,65319) = 2¹ × 3¹ × 5¹ × 7¹ × 311¹ × 21773¹
LCM(65310,65319) = 1421994630