GCF and LCM Calculator Logo

What is the Least Common Multiple of 10054 and 10066?

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 10054 and 10066 is 50601782.

LCM(10054,10066) = 50601782

LCM Calculator and
and

Least Common Multiple of 10054 and 10066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10054 and 10066, than apply into the LCM equation.

GCF(10054,10066) = 2
LCM(10054,10066) = ( 10054 × 10066) / 2
LCM(10054,10066) = 101203564 / 2
LCM(10054,10066) = 50601782

Least Common Multiple (LCM) of 10054 and 10066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10054 and 10066. First we will calculate the prime factors of 10054 and 10066.

Prime Factorization of 10054

Prime factors of 10054 are 2, 11, 457. Prime factorization of 10054 in exponential form is:

10054 = 21 × 111 × 4571

Prime Factorization of 10066

Prime factors of 10066 are 2, 7, 719. Prime factorization of 10066 in exponential form is:

10066 = 21 × 71 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 10054 and 10066.

LCM(10054,10066) = 21 × 111 × 4571 × 71 × 7191
LCM(10054,10066) = 50601782