What is the Least Common Multiple of 62645 and 62662?

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 62645 and 62662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62645 and 62662, than apply into the LCM equation.

GCF(62645,62662) = 17
LCM(62645,62662) = ( 62645 × 62662) / 17
LCM(62645,62662) = 3925460990 / 17
LCM(62645,62662) = 230909470

Least Common Multiple (LCM) of 62645 and 62662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62645 and 62662. First we will calculate the prime factors of 62645 and 62662.

Prime Factorization of 62645

Prime Factorization of 62662

Now multiplying the highest exponent prime factors to calculate the LCM of 62645 and 62662.

LCM(62645,62662) = 5¹ × 11¹ × 17¹ × 67¹ × 2¹ × 19¹ × 97¹
LCM(62645,62662) = 230909470