What is the Least Common Multiple of 62805 and 62825?

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 62805 and 62825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62805 and 62825, than apply into the LCM equation.

GCF(62805,62825) = 5
LCM(62805,62825) = ( 62805 × 62825) / 5
LCM(62805,62825) = 3945724125 / 5
LCM(62805,62825) = 789144825

Least Common Multiple (LCM) of 62805 and 62825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62805 and 62825. First we will calculate the prime factors of 62805 and 62825.

Prime Factorization of 62805

Prime Factorization of 62825

Now multiplying the highest exponent prime factors to calculate the LCM of 62805 and 62825.

LCM(62805,62825) = 3¹ × 5² × 53¹ × 79¹ × 7¹ × 359¹
LCM(62805,62825) = 789144825