What is the Least Common Multiple of 60396 and 60401?

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 60396 and 60401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60396 and 60401, than apply into the LCM equation.

GCF(60396,60401) = 1
LCM(60396,60401) = ( 60396 × 60401) / 1
LCM(60396,60401) = 3647978796 / 1
LCM(60396,60401) = 3647978796

Least Common Multiple (LCM) of 60396 and 60401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60396 and 60401. First we will calculate the prime factors of 60396 and 60401.

Prime Factorization of 60396

Prime Factorization of 60401

Now multiplying the highest exponent prime factors to calculate the LCM of 60396 and 60401.

LCM(60396,60401) = 2² × 3¹ × 7¹ × 719¹ × 11¹ × 17² × 19¹
LCM(60396,60401) = 3647978796