What is the Least Common Multiple of 24698 and 24703?

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 24698 and 24703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24698 and 24703, than apply into the LCM equation.

GCF(24698,24703) = 1
LCM(24698,24703) = ( 24698 × 24703) / 1
LCM(24698,24703) = 610114694 / 1
LCM(24698,24703) = 610114694

Least Common Multiple (LCM) of 24698 and 24703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24698 and 24703. First we will calculate the prime factors of 24698 and 24703.

Prime Factorization of 24698

Prime Factorization of 24703

Now multiplying the highest exponent prime factors to calculate the LCM of 24698 and 24703.

LCM(24698,24703) = 2¹ × 53¹ × 233¹ × 7¹ × 3529¹
LCM(24698,24703) = 610114694