GCF and LCM Calculator Logo

What is the Least Common Multiple of 10058 and 10076?

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 (LCM) of 10058 and 10076 is 50672204.

LCM(10058,10076) = 50672204

LCM Calculator and
and

Least Common Multiple of 10058 and 10076 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 10076, than apply into the LCM equation.

GCF(10058,10076) = 2
LCM(10058,10076) = ( 10058 × 10076) / 2
LCM(10058,10076) = 101344408 / 2
LCM(10058,10076) = 50672204

Least Common Multiple (LCM) of 10058 and 10076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10058 and 10076. First we will calculate the prime factors of 10058 and 10076.

Prime Factorization of 10058

Prime factors of 10058 are 2, 47, 107. Prime factorization of 10058 in exponential form is:

10058 = 21 × 471 × 1071

Prime Factorization of 10076

Prime factors of 10076 are 2, 11, 229. Prime factorization of 10076 in exponential form is:

10076 = 22 × 111 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 10058 and 10076.

LCM(10058,10076) = 22 × 471 × 1071 × 111 × 2291
LCM(10058,10076) = 50672204