What is the Least Common Multiple of 62013 and 62027?

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 62013 and 62027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62013 and 62027, than apply into the LCM equation.

GCF(62013,62027) = 7
LCM(62013,62027) = ( 62013 × 62027) / 7
LCM(62013,62027) = 3846480351 / 7
LCM(62013,62027) = 549497193

Least Common Multiple (LCM) of 62013 and 62027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62013 and 62027. First we will calculate the prime factors of 62013 and 62027.

Prime Factorization of 62013

Prime Factorization of 62027

Now multiplying the highest exponent prime factors to calculate the LCM of 62013 and 62027.

LCM(62013,62027) = 3¹ × 7¹ × 2953¹ × 8861¹
LCM(62013,62027) = 549497193