What is the Least Common Multiple of 67306 and 67319?

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 67306 and 67319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67306 and 67319, than apply into the LCM equation.

GCF(67306,67319) = 1
LCM(67306,67319) = ( 67306 × 67319) / 1
LCM(67306,67319) = 4530972614 / 1
LCM(67306,67319) = 4530972614

Least Common Multiple (LCM) of 67306 and 67319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67306 and 67319. First we will calculate the prime factors of 67306 and 67319.

Prime Factorization of 67306

Prime Factorization of 67319

Now multiplying the highest exponent prime factors to calculate the LCM of 67306 and 67319.

LCM(67306,67319) = 2¹ × 73¹ × 461¹ × 7¹ × 59¹ × 163¹
LCM(67306,67319) = 4530972614