GCF and LCM Calculator Logo

What is the Least Common Multiple of 10025 and 10034?

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 10025 and 10034 is 100590850.

LCM(10025,10034) = 100590850

LCM Calculator and
and

Least Common Multiple of 10025 and 10034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10025 and 10034, than apply into the LCM equation.

GCF(10025,10034) = 1
LCM(10025,10034) = ( 10025 × 10034) / 1
LCM(10025,10034) = 100590850 / 1
LCM(10025,10034) = 100590850

Least Common Multiple (LCM) of 10025 and 10034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10025 and 10034. First we will calculate the prime factors of 10025 and 10034.

Prime Factorization of 10025

Prime factors of 10025 are 5, 401. Prime factorization of 10025 in exponential form is:

10025 = 52 × 4011

Prime Factorization of 10034

Prime factors of 10034 are 2, 29, 173. Prime factorization of 10034 in exponential form is:

10034 = 21 × 291 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 10025 and 10034.

LCM(10025,10034) = 52 × 4011 × 21 × 291 × 1731
LCM(10025,10034) = 100590850