What is the Least Common Multiple of 62433 and 62437?

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 62437 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 62437, than apply into the LCM equation.

GCF(62433,62437) = 1
LCM(62433,62437) = ( 62433 × 62437) / 1
LCM(62433,62437) = 3898129221 / 1
LCM(62433,62437) = 3898129221

Least Common Multiple (LCM) of 62433 and 62437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62433 and 62437. First we will calculate the prime factors of 62433 and 62437.

Prime Factorization of 62433

Prime Factorization of 62437

Now multiplying the highest exponent prime factors to calculate the LCM of 62433 and 62437.

LCM(62433,62437) = 3² × 7¹ × 991¹ × 29¹ × 2153¹
LCM(62433,62437) = 3898129221