What is the Least Common Multiple of 68289 and 68304?

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 68289 and 68304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68289 and 68304, than apply into the LCM equation.

GCF(68289,68304) = 3
LCM(68289,68304) = ( 68289 × 68304) / 3
LCM(68289,68304) = 4664411856 / 3
LCM(68289,68304) = 1554803952

Least Common Multiple (LCM) of 68289 and 68304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68289 and 68304. First we will calculate the prime factors of 68289 and 68304.

Prime Factorization of 68289

Prime Factorization of 68304

Now multiplying the highest exponent prime factors to calculate the LCM of 68289 and 68304.

LCM(68289,68304) = 3¹ × 13¹ × 17¹ × 103¹ × 2⁴ × 1423¹
LCM(68289,68304) = 1554803952