What is the Least Common Multiple of 63058 and 63066?

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 63058 and 63066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63058 and 63066, than apply into the LCM equation.

GCF(63058,63066) = 2
LCM(63058,63066) = ( 63058 × 63066) / 2
LCM(63058,63066) = 3976815828 / 2
LCM(63058,63066) = 1988407914

Least Common Multiple (LCM) of 63058 and 63066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63058 and 63066. First we will calculate the prime factors of 63058 and 63066.

Prime Factorization of 63058

Prime Factorization of 63066

Now multiplying the highest exponent prime factors to calculate the LCM of 63058 and 63066.

LCM(63058,63066) = 2¹ × 41¹ × 769¹ × 3¹ × 23¹ × 457¹
LCM(63058,63066) = 1988407914