What is the Least Common Multiple of 28970 and 28974?

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 28970 and 28974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28970 and 28974, than apply into the LCM equation.

GCF(28970,28974) = 2
LCM(28970,28974) = ( 28970 × 28974) / 2
LCM(28970,28974) = 839376780 / 2
LCM(28970,28974) = 419688390

Least Common Multiple (LCM) of 28970 and 28974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28970 and 28974. First we will calculate the prime factors of 28970 and 28974.

Prime Factorization of 28970

Prime Factorization of 28974

Now multiplying the highest exponent prime factors to calculate the LCM of 28970 and 28974.

LCM(28970,28974) = 2¹ × 5¹ × 2897¹ × 3¹ × 11¹ × 439¹
LCM(28970,28974) = 419688390