What is the Least Common Multiple of 62013 and 62022?

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 62022 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 62022, than apply into the LCM equation.

GCF(62013,62022) = 3
LCM(62013,62022) = ( 62013 × 62022) / 3
LCM(62013,62022) = 3846170286 / 3
LCM(62013,62022) = 1282056762

Least Common Multiple (LCM) of 62013 and 62022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62013 and 62022. First we will calculate the prime factors of 62013 and 62022.

Prime Factorization of 62013

Prime Factorization of 62022

Now multiplying the highest exponent prime factors to calculate the LCM of 62013 and 62022.

LCM(62013,62022) = 3¹ × 7¹ × 2953¹ × 2¹ × 10337¹
LCM(62013,62022) = 1282056762