What is the Least Common Multiple of 63126 and 63133?

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 63126 and 63133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63126 and 63133, than apply into the LCM equation.

GCF(63126,63133) = 7
LCM(63126,63133) = ( 63126 × 63133) / 7
LCM(63126,63133) = 3985333758 / 7
LCM(63126,63133) = 569333394

Least Common Multiple (LCM) of 63126 and 63133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63126 and 63133. First we will calculate the prime factors of 63126 and 63133.

Prime Factorization of 63126

Prime Factorization of 63133

Now multiplying the highest exponent prime factors to calculate the LCM of 63126 and 63133.

LCM(63126,63133) = 2¹ × 3³ × 7¹ × 167¹ × 29¹ × 311¹
LCM(63126,63133) = 569333394