What is the Least Common Multiple of 62652 and 62663?

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 62652 and 62663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62652 and 62663, than apply into the LCM equation.

GCF(62652,62663) = 1
LCM(62652,62663) = ( 62652 × 62663) / 1
LCM(62652,62663) = 3925962276 / 1
LCM(62652,62663) = 3925962276

Least Common Multiple (LCM) of 62652 and 62663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62652 and 62663. First we will calculate the prime factors of 62652 and 62663.

Prime Factorization of 62652

Prime Factorization of 62663

Now multiplying the highest exponent prime factors to calculate the LCM of 62652 and 62663.

LCM(62652,62663) = 2² × 3¹ × 23¹ × 227¹ × 223¹ × 281¹
LCM(62652,62663) = 3925962276