What is the Least Common Multiple of 62553 and 62569?

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 62553 and 62569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62553 and 62569, than apply into the LCM equation.

GCF(62553,62569) = 1
LCM(62553,62569) = ( 62553 × 62569) / 1
LCM(62553,62569) = 3913878657 / 1
LCM(62553,62569) = 3913878657

Least Common Multiple (LCM) of 62553 and 62569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62553 and 62569. First we will calculate the prime factors of 62553 and 62569.

Prime Factorization of 62553

Prime Factorization of 62569

Now multiplying the highest exponent prime factors to calculate the LCM of 62553 and 62569.

LCM(62553,62569) = 3¹ × 29¹ × 719¹ × 13¹ × 4813¹
LCM(62553,62569) = 3913878657