What is the Least Common Multiple of 29646 and 29659?

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 29646 and 29659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29646 and 29659, than apply into the LCM equation.

GCF(29646,29659) = 1
LCM(29646,29659) = ( 29646 × 29659) / 1
LCM(29646,29659) = 879270714 / 1
LCM(29646,29659) = 879270714

Least Common Multiple (LCM) of 29646 and 29659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29646 and 29659. First we will calculate the prime factors of 29646 and 29659.

Prime Factorization of 29646

Prime Factorization of 29659

Now multiplying the highest exponent prime factors to calculate the LCM of 29646 and 29659.

LCM(29646,29659) = 2¹ × 3⁵ × 61¹ × 7¹ × 19¹ × 223¹
LCM(29646,29659) = 879270714