What is the Least Common Multiple of 29431 and 29450?

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 29431 and 29450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29431 and 29450, than apply into the LCM equation.

GCF(29431,29450) = 19
LCM(29431,29450) = ( 29431 × 29450) / 19
LCM(29431,29450) = 866742950 / 19
LCM(29431,29450) = 45618050

Least Common Multiple (LCM) of 29431 and 29450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29431 and 29450. First we will calculate the prime factors of 29431 and 29450.

Prime Factorization of 29431

Prime Factorization of 29450

Now multiplying the highest exponent prime factors to calculate the LCM of 29431 and 29450.

LCM(29431,29450) = 19¹ × 1549¹ × 2¹ × 5² × 31¹
LCM(29431,29450) = 45618050