What is the Least Common Multiple of 67088 and 67102?

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 67088 and 67102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67088 and 67102, than apply into the LCM equation.

GCF(67088,67102) = 14
LCM(67088,67102) = ( 67088 × 67102) / 14
LCM(67088,67102) = 4501738976 / 14
LCM(67088,67102) = 321552784

Least Common Multiple (LCM) of 67088 and 67102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67088 and 67102. First we will calculate the prime factors of 67088 and 67102.

Prime Factorization of 67088

Prime Factorization of 67102

Now multiplying the highest exponent prime factors to calculate the LCM of 67088 and 67102.

LCM(67088,67102) = 2⁴ × 7¹ × 599¹ × 4793¹
LCM(67088,67102) = 321552784