What is the Least Common Multiple of 68398 and 68415?

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 68398 and 68415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68398 and 68415, than apply into the LCM equation.

GCF(68398,68415) = 1
LCM(68398,68415) = ( 68398 × 68415) / 1
LCM(68398,68415) = 4679449170 / 1
LCM(68398,68415) = 4679449170

Least Common Multiple (LCM) of 68398 and 68415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68398 and 68415. First we will calculate the prime factors of 68398 and 68415.

Prime Factorization of 68398

Prime Factorization of 68415

Now multiplying the highest exponent prime factors to calculate the LCM of 68398 and 68415.

LCM(68398,68415) = 2¹ × 11¹ × 3109¹ × 3¹ × 5¹ × 4561¹
LCM(68398,68415) = 4679449170