What is the Least Common Multiple of 60419 and 60431?

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 60419 and 60431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60419 and 60431, than apply into the LCM equation.

GCF(60419,60431) = 1
LCM(60419,60431) = ( 60419 × 60431) / 1
LCM(60419,60431) = 3651180589 / 1
LCM(60419,60431) = 3651180589

Least Common Multiple (LCM) of 60419 and 60431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60419 and 60431. First we will calculate the prime factors of 60419 and 60431.

Prime Factorization of 60419

Prime Factorization of 60431

Now multiplying the highest exponent prime factors to calculate the LCM of 60419 and 60431.

LCM(60419,60431) = 31¹ × 1949¹ × 7¹ × 89¹ × 97¹
LCM(60419,60431) = 3651180589