What is the Least Common Multiple of 6069 and 6073?

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 6069 and 6073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6069 and 6073, than apply into the LCM equation.

GCF(6069,6073) = 1
LCM(6069,6073) = ( 6069 × 6073) / 1
LCM(6069,6073) = 36857037 / 1
LCM(6069,6073) = 36857037

Least Common Multiple (LCM) of 6069 and 6073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6069 and 6073. First we will calculate the prime factors of 6069 and 6073.

Prime Factorization of 6069

Prime Factorization of 6073

Now multiplying the highest exponent prime factors to calculate the LCM of 6069 and 6073.

LCM(6069,6073) = 3¹ × 7¹ × 17² × 6073¹
LCM(6069,6073) = 36857037