What is the Least Common Multiple of 63014 and 63026?

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 63014 and 63026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63014 and 63026, than apply into the LCM equation.

GCF(63014,63026) = 2
LCM(63014,63026) = ( 63014 × 63026) / 2
LCM(63014,63026) = 3971520364 / 2
LCM(63014,63026) = 1985760182

Least Common Multiple (LCM) of 63014 and 63026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63014 and 63026. First we will calculate the prime factors of 63014 and 63026.

Prime Factorization of 63014

Prime Factorization of 63026

Now multiplying the highest exponent prime factors to calculate the LCM of 63014 and 63026.

LCM(63014,63026) = 2¹ × 7² × 643¹ × 31513¹
LCM(63014,63026) = 1985760182