What is the Least Common Multiple of 62552 and 62559?

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 62552 and 62559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62552 and 62559, than apply into the LCM equation.

GCF(62552,62559) = 7
LCM(62552,62559) = ( 62552 × 62559) / 7
LCM(62552,62559) = 3913190568 / 7
LCM(62552,62559) = 559027224

Least Common Multiple (LCM) of 62552 and 62559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62552 and 62559. First we will calculate the prime factors of 62552 and 62559.

Prime Factorization of 62552

Prime Factorization of 62559

Now multiplying the highest exponent prime factors to calculate the LCM of 62552 and 62559.

LCM(62552,62559) = 2³ × 7¹ × 1117¹ × 3³ × 331¹
LCM(62552,62559) = 559027224