What is the Least Common Multiple of 68398 and 68402?

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 68402 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 68402, than apply into the LCM equation.

GCF(68398,68402) = 2
LCM(68398,68402) = ( 68398 × 68402) / 2
LCM(68398,68402) = 4678559996 / 2
LCM(68398,68402) = 2339279998

Least Common Multiple (LCM) of 68398 and 68402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68398 and 68402. First we will calculate the prime factors of 68398 and 68402.

Prime Factorization of 68398

Prime Factorization of 68402

Now multiplying the highest exponent prime factors to calculate the LCM of 68398 and 68402.

LCM(68398,68402) = 2¹ × 11¹ × 3109¹ × 23¹ × 1487¹
LCM(68398,68402) = 2339279998