What is the Least Common Multiple of 62565 and 62585?

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 62585 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 62585, than apply into the LCM equation.

GCF(62565,62585) = 5
LCM(62565,62585) = ( 62565 × 62585) / 5
LCM(62565,62585) = 3915630525 / 5
LCM(62565,62585) = 783126105

Least Common Multiple (LCM) of 62565 and 62585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62565 and 62585. First we will calculate the prime factors of 62565 and 62585.

Prime Factorization of 62565

Prime Factorization of 62585

Now multiplying the highest exponent prime factors to calculate the LCM of 62565 and 62585.

LCM(62565,62585) = 3¹ × 5¹ × 43¹ × 97¹ × 12517¹
LCM(62565,62585) = 783126105