What is the Least Common Multiple of 28050 and 28054?

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 of 28050 and 28054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28050 and 28054, than apply into the LCM equation.

GCF(28050,28054) = 2
LCM(28050,28054) = ( 28050 × 28054) / 2
LCM(28050,28054) = 786914700 / 2
LCM(28050,28054) = 393457350

Least Common Multiple (LCM) of 28050 and 28054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28050 and 28054. First we will calculate the prime factors of 28050 and 28054.

Prime Factorization of 28050

Prime Factorization of 28054

Now multiplying the highest exponent prime factors to calculate the LCM of 28050 and 28054.

LCM(28050,28054) = 2¹ × 3¹ × 5² × 11¹ × 17¹ × 13² × 83¹
LCM(28050,28054) = 393457350