What is the Least Common Multiple of 62433 and 62439?

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 62433 and 62439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62433 and 62439, than apply into the LCM equation.

GCF(62433,62439) = 3
LCM(62433,62439) = ( 62433 × 62439) / 3
LCM(62433,62439) = 3898254087 / 3
LCM(62433,62439) = 1299418029

Least Common Multiple (LCM) of 62433 and 62439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62433 and 62439. First we will calculate the prime factors of 62433 and 62439.

Prime Factorization of 62433

Prime Factorization of 62439

Now multiplying the highest exponent prime factors to calculate the LCM of 62433 and 62439.

LCM(62433,62439) = 3² × 7¹ × 991¹ × 13¹ × 1601¹
LCM(62433,62439) = 1299418029