What is the Least Common Multiple of 28975 and 28994?

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 28975 and 28994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28975 and 28994, than apply into the LCM equation.

GCF(28975,28994) = 19
LCM(28975,28994) = ( 28975 × 28994) / 19
LCM(28975,28994) = 840101150 / 19
LCM(28975,28994) = 44215850

Least Common Multiple (LCM) of 28975 and 28994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28975 and 28994. First we will calculate the prime factors of 28975 and 28994.

Prime Factorization of 28975

Prime Factorization of 28994

Now multiplying the highest exponent prime factors to calculate the LCM of 28975 and 28994.

LCM(28975,28994) = 5² × 19¹ × 61¹ × 2¹ × 7¹ × 109¹
LCM(28975,28994) = 44215850