GCF and LCM Calculator Logo

What is the Least Common Multiple of 28038 and 28050?

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 28038 and 28050 is 131077650.

LCM(28038,28050) = 131077650

LCM Calculator and
and

Least Common Multiple of 28038 and 28050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28038 and 28050, than apply into the LCM equation.

GCF(28038,28050) = 6
LCM(28038,28050) = ( 28038 × 28050) / 6
LCM(28038,28050) = 786465900 / 6
LCM(28038,28050) = 131077650

Least Common Multiple (LCM) of 28038 and 28050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28038 and 28050. First we will calculate the prime factors of 28038 and 28050.

Prime Factorization of 28038

Prime factors of 28038 are 2, 3, 4673. Prime factorization of 28038 in exponential form is:

28038 = 21 × 31 × 46731

Prime Factorization of 28050

Prime factors of 28050 are 2, 3, 5, 11, 17. Prime factorization of 28050 in exponential form is:

28050 = 21 × 31 × 52 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 28038 and 28050.

LCM(28038,28050) = 21 × 31 × 46731 × 52 × 111 × 171
LCM(28038,28050) = 131077650