What is the Least Common Multiple of 72314 and 72319?

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 72314 and 72319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72314 and 72319, than apply into the LCM equation.

GCF(72314,72319) = 1
LCM(72314,72319) = ( 72314 × 72319) / 1
LCM(72314,72319) = 5229676166 / 1
LCM(72314,72319) = 5229676166

Least Common Multiple (LCM) of 72314 and 72319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72314 and 72319. First we will calculate the prime factors of 72314 and 72319.

Prime Factorization of 72314

Prime Factorization of 72319

Now multiplying the highest exponent prime factors to calculate the LCM of 72314 and 72319.

LCM(72314,72319) = 2¹ × 11¹ × 19¹ × 173¹ × 13¹ × 5563¹
LCM(72314,72319) = 5229676166