What is the Least Common Multiple of 29840 and 29859?

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 29840 and 29859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29840 and 29859, than apply into the LCM equation.

GCF(29840,29859) = 1
LCM(29840,29859) = ( 29840 × 29859) / 1
LCM(29840,29859) = 890992560 / 1
LCM(29840,29859) = 890992560

Least Common Multiple (LCM) of 29840 and 29859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29840 and 29859. First we will calculate the prime factors of 29840 and 29859.

Prime Factorization of 29840

Prime Factorization of 29859

Now multiplying the highest exponent prime factors to calculate the LCM of 29840 and 29859.

LCM(29840,29859) = 2⁴ × 5¹ × 373¹ × 3¹ × 37¹ × 269¹
LCM(29840,29859) = 890992560