What is the Least Common Multiple of 62565 and 62584?

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 62565 and 62584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62565 and 62584, than apply into the LCM equation.

GCF(62565,62584) = 1
LCM(62565,62584) = ( 62565 × 62584) / 1
LCM(62565,62584) = 3915567960 / 1
LCM(62565,62584) = 3915567960

Least Common Multiple (LCM) of 62565 and 62584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62565 and 62584. First we will calculate the prime factors of 62565 and 62584.

Prime Factorization of 62565

Prime Factorization of 62584

Now multiplying the highest exponent prime factors to calculate the LCM of 62565 and 62584.

LCM(62565,62584) = 3¹ × 5¹ × 43¹ × 97¹ × 2³ × 7823¹
LCM(62565,62584) = 3915567960