What is the Least Common Multiple of 63069 and 63074?

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 63069 and 63074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63069 and 63074, than apply into the LCM equation.

GCF(63069,63074) = 1
LCM(63069,63074) = ( 63069 × 63074) / 1
LCM(63069,63074) = 3978014106 / 1
LCM(63069,63074) = 3978014106

Least Common Multiple (LCM) of 63069 and 63074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63069 and 63074. First we will calculate the prime factors of 63069 and 63074.

Prime Factorization of 63069

Prime Factorization of 63074

Now multiplying the highest exponent prime factors to calculate the LCM of 63069 and 63074.

LCM(63069,63074) = 3¹ × 21023¹ × 2¹ × 11¹ × 47¹ × 61¹
LCM(63069,63074) = 3978014106