What is the Least Common Multiple of 28974 and 28984?

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 28974 and 28984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28974 and 28984, than apply into the LCM equation.

GCF(28974,28984) = 2
LCM(28974,28984) = ( 28974 × 28984) / 2
LCM(28974,28984) = 839782416 / 2
LCM(28974,28984) = 419891208

Least Common Multiple (LCM) of 28974 and 28984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28974 and 28984. First we will calculate the prime factors of 28974 and 28984.

Prime Factorization of 28974

Prime Factorization of 28984

Now multiplying the highest exponent prime factors to calculate the LCM of 28974 and 28984.

LCM(28974,28984) = 2³ × 3¹ × 11¹ × 439¹ × 3623¹
LCM(28974,28984) = 419891208