What is the Least Common Multiple of 62594 and 62610?

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 62594 and 62610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62594 and 62610, than apply into the LCM equation.

GCF(62594,62610) = 2
LCM(62594,62610) = ( 62594 × 62610) / 2
LCM(62594,62610) = 3919010340 / 2
LCM(62594,62610) = 1959505170

Least Common Multiple (LCM) of 62594 and 62610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62594 and 62610. First we will calculate the prime factors of 62594 and 62610.

Prime Factorization of 62594

Prime Factorization of 62610

Now multiplying the highest exponent prime factors to calculate the LCM of 62594 and 62610.

LCM(62594,62610) = 2¹ × 7¹ × 17¹ × 263¹ × 3¹ × 5¹ × 2087¹
LCM(62594,62610) = 1959505170