What is the Least Common Multiple of 28940 and 28950?

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 28940 and 28950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28940 and 28950, than apply into the LCM equation.

GCF(28940,28950) = 10
LCM(28940,28950) = ( 28940 × 28950) / 10
LCM(28940,28950) = 837813000 / 10
LCM(28940,28950) = 83781300

Least Common Multiple (LCM) of 28940 and 28950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28940 and 28950. First we will calculate the prime factors of 28940 and 28950.

Prime Factorization of 28940

Prime Factorization of 28950

Now multiplying the highest exponent prime factors to calculate the LCM of 28940 and 28950.

LCM(28940,28950) = 2² × 5² × 1447¹ × 3¹ × 193¹
LCM(28940,28950) = 83781300