What is the Least Common Multiple of 62993 and 63001?

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 62993 and 63001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62993 and 63001, than apply into the LCM equation.

GCF(62993,63001) = 1
LCM(62993,63001) = ( 62993 × 63001) / 1
LCM(62993,63001) = 3968621993 / 1
LCM(62993,63001) = 3968621993

Least Common Multiple (LCM) of 62993 and 63001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62993 and 63001. First we will calculate the prime factors of 62993 and 63001.

Prime Factorization of 62993

Prime Factorization of 63001

Now multiplying the highest exponent prime factors to calculate the LCM of 62993 and 63001.

LCM(62993,63001) = 7¹ × 8999¹ × 251²
LCM(62993,63001) = 3968621993