What is the Least Common Multiple of 28954 and 28968?

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 28954 and 28968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28954 and 28968, than apply into the LCM equation.

GCF(28954,28968) = 2
LCM(28954,28968) = ( 28954 × 28968) / 2
LCM(28954,28968) = 838739472 / 2
LCM(28954,28968) = 419369736

Least Common Multiple (LCM) of 28954 and 28968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28954 and 28968. First we will calculate the prime factors of 28954 and 28968.

Prime Factorization of 28954

Prime Factorization of 28968

Now multiplying the highest exponent prime factors to calculate the LCM of 28954 and 28968.

LCM(28954,28968) = 2³ × 31¹ × 467¹ × 3¹ × 17¹ × 71¹
LCM(28954,28968) = 419369736