What is the Least Common Multiple of 28934 and 28951?

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 28934 and 28951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28934 and 28951, than apply into the LCM equation.

GCF(28934,28951) = 17
LCM(28934,28951) = ( 28934 × 28951) / 17
LCM(28934,28951) = 837668234 / 17
LCM(28934,28951) = 49274602

Least Common Multiple (LCM) of 28934 and 28951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28934 and 28951. First we will calculate the prime factors of 28934 and 28951.

Prime Factorization of 28934

Prime Factorization of 28951

Now multiplying the highest exponent prime factors to calculate the LCM of 28934 and 28951.

LCM(28934,28951) = 2¹ × 17¹ × 23¹ × 37¹ × 13¹ × 131¹
LCM(28934,28951) = 49274602