What is the Least Common Multiple of 29744 and 29759?

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 29744 and 29759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29744 and 29759, than apply into the LCM equation.

GCF(29744,29759) = 1
LCM(29744,29759) = ( 29744 × 29759) / 1
LCM(29744,29759) = 885151696 / 1
LCM(29744,29759) = 885151696

Least Common Multiple (LCM) of 29744 and 29759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29744 and 29759. First we will calculate the prime factors of 29744 and 29759.

Prime Factorization of 29744

Prime Factorization of 29759

Now multiplying the highest exponent prime factors to calculate the LCM of 29744 and 29759.

LCM(29744,29759) = 2⁴ × 11¹ × 13² × 29759¹
LCM(29744,29759) = 885151696