What is the Least Common Multiple of 29414 and 29425?

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 29414 and 29425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29414 and 29425, than apply into the LCM equation.

GCF(29414,29425) = 11
LCM(29414,29425) = ( 29414 × 29425) / 11
LCM(29414,29425) = 865506950 / 11
LCM(29414,29425) = 78682450

Least Common Multiple (LCM) of 29414 and 29425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29414 and 29425. First we will calculate the prime factors of 29414 and 29425.

Prime Factorization of 29414

Prime Factorization of 29425

Now multiplying the highest exponent prime factors to calculate the LCM of 29414 and 29425.

LCM(29414,29425) = 2¹ × 7¹ × 11¹ × 191¹ × 5² × 107¹
LCM(29414,29425) = 78682450