What is the Least Common Multiple of 24688 and 24698?

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 24688 and 24698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24688 and 24698, than apply into the LCM equation.

GCF(24688,24698) = 2
LCM(24688,24698) = ( 24688 × 24698) / 2
LCM(24688,24698) = 609744224 / 2
LCM(24688,24698) = 304872112

Least Common Multiple (LCM) of 24688 and 24698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24688 and 24698. First we will calculate the prime factors of 24688 and 24698.

Prime Factorization of 24688

Prime Factorization of 24698

Now multiplying the highest exponent prime factors to calculate the LCM of 24688 and 24698.

LCM(24688,24698) = 2⁴ × 1543¹ × 53¹ × 233¹
LCM(24688,24698) = 304872112