What is the Least Common Multiple of 29841 and 29850?

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 29841 and 29850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29841 and 29850, than apply into the LCM equation.

GCF(29841,29850) = 3
LCM(29841,29850) = ( 29841 × 29850) / 3
LCM(29841,29850) = 890753850 / 3
LCM(29841,29850) = 296917950

Least Common Multiple (LCM) of 29841 and 29850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29841 and 29850. First we will calculate the prime factors of 29841 and 29850.

Prime Factorization of 29841

Prime Factorization of 29850

Now multiplying the highest exponent prime factors to calculate the LCM of 29841 and 29850.

LCM(29841,29850) = 3¹ × 7³ × 29¹ × 2¹ × 5² × 199¹
LCM(29841,29850) = 296917950