What is the Least Common Multiple of 4698 and 4709?

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 4698 and 4709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4698 and 4709, than apply into the LCM equation.

GCF(4698,4709) = 1
LCM(4698,4709) = ( 4698 × 4709) / 1
LCM(4698,4709) = 22122882 / 1
LCM(4698,4709) = 22122882

Least Common Multiple (LCM) of 4698 and 4709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4698 and 4709. First we will calculate the prime factors of 4698 and 4709.

Prime Factorization of 4698

Prime Factorization of 4709

Now multiplying the highest exponent prime factors to calculate the LCM of 4698 and 4709.

LCM(4698,4709) = 2¹ × 3⁴ × 29¹ × 17¹ × 277¹
LCM(4698,4709) = 22122882