What is the Least Common Multiple of 29974 and 29994?

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 29974 and 29994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29974 and 29994, than apply into the LCM equation.

GCF(29974,29994) = 2
LCM(29974,29994) = ( 29974 × 29994) / 2
LCM(29974,29994) = 899040156 / 2
LCM(29974,29994) = 449520078

Least Common Multiple (LCM) of 29974 and 29994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29974 and 29994. First we will calculate the prime factors of 29974 and 29994.

Prime Factorization of 29974

Prime Factorization of 29994

Now multiplying the highest exponent prime factors to calculate the LCM of 29974 and 29994.

LCM(29974,29994) = 2¹ × 7¹ × 2141¹ × 3¹ × 4999¹
LCM(29974,29994) = 449520078