GCF and LCM Calculator Logo

What is the Least Common Multiple of 10210 and 10226?

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 10210 and 10226 is 52203730.

LCM(10210,10226) = 52203730

LCM Calculator and
and

Least Common Multiple of 10210 and 10226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10210 and 10226, than apply into the LCM equation.

GCF(10210,10226) = 2
LCM(10210,10226) = ( 10210 × 10226) / 2
LCM(10210,10226) = 104407460 / 2
LCM(10210,10226) = 52203730

Least Common Multiple (LCM) of 10210 and 10226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10210 and 10226. First we will calculate the prime factors of 10210 and 10226.

Prime Factorization of 10210

Prime factors of 10210 are 2, 5, 1021. Prime factorization of 10210 in exponential form is:

10210 = 21 × 51 × 10211

Prime Factorization of 10226

Prime factors of 10226 are 2, 5113. Prime factorization of 10226 in exponential form is:

10226 = 21 × 51131

Now multiplying the highest exponent prime factors to calculate the LCM of 10210 and 10226.

LCM(10210,10226) = 21 × 51 × 10211 × 51131
LCM(10210,10226) = 52203730