What is the Least Common Multiple of 62595 and 62608?

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 62595 and 62608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62595 and 62608, than apply into the LCM equation.

GCF(62595,62608) = 13
LCM(62595,62608) = ( 62595 × 62608) / 13
LCM(62595,62608) = 3918947760 / 13
LCM(62595,62608) = 301457520

Least Common Multiple (LCM) of 62595 and 62608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62595 and 62608. First we will calculate the prime factors of 62595 and 62608.

Prime Factorization of 62595

Prime Factorization of 62608

Now multiplying the highest exponent prime factors to calculate the LCM of 62595 and 62608.

LCM(62595,62608) = 3² × 5¹ × 13¹ × 107¹ × 2⁴ × 7¹ × 43¹
LCM(62595,62608) = 301457520