What is the Least Common Multiple of 28054 and 28074?

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 28054 and 28074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28054 and 28074, than apply into the LCM equation.

GCF(28054,28074) = 2
LCM(28054,28074) = ( 28054 × 28074) / 2
LCM(28054,28074) = 787587996 / 2
LCM(28054,28074) = 393793998

Least Common Multiple (LCM) of 28054 and 28074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28054 and 28074. First we will calculate the prime factors of 28054 and 28074.

Prime Factorization of 28054

Prime Factorization of 28074

Now multiplying the highest exponent prime factors to calculate the LCM of 28054 and 28074.

LCM(28054,28074) = 2¹ × 13² × 83¹ × 3¹ × 4679¹
LCM(28054,28074) = 393793998