What is the Least Common Multiple of 10058 and 10073?

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 10058 and 10073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10058 and 10073, than apply into the LCM equation.

GCF(10058,10073) = 1
LCM(10058,10073) = ( 10058 × 10073) / 1
LCM(10058,10073) = 101314234 / 1
LCM(10058,10073) = 101314234

Least Common Multiple (LCM) of 10058 and 10073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10058 and 10073. First we will calculate the prime factors of 10058 and 10073.

Prime Factorization of 10058

Prime Factorization of 10073

Now multiplying the highest exponent prime factors to calculate the LCM of 10058 and 10073.

LCM(10058,10073) = 2¹ × 47¹ × 107¹ × 7¹ × 1439¹
LCM(10058,10073) = 101314234