What is the Least Common Multiple of 60462 and 60474?

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 60462 and 60474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60462 and 60474, than apply into the LCM equation.

GCF(60462,60474) = 6
LCM(60462,60474) = ( 60462 × 60474) / 6
LCM(60462,60474) = 3656378988 / 6
LCM(60462,60474) = 609396498

Least Common Multiple (LCM) of 60462 and 60474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60462 and 60474. First we will calculate the prime factors of 60462 and 60474.

Prime Factorization of 60462

Prime Factorization of 60474

Now multiplying the highest exponent prime factors to calculate the LCM of 60462 and 60474.

LCM(60462,60474) = 2¹ × 3² × 3359¹ × 10079¹
LCM(60462,60474) = 609396498