What is the Least Common Multiple of 24753 and 24769?

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 24753 and 24769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24753 and 24769, than apply into the LCM equation.

GCF(24753,24769) = 1
LCM(24753,24769) = ( 24753 × 24769) / 1
LCM(24753,24769) = 613107057 / 1
LCM(24753,24769) = 613107057

Least Common Multiple (LCM) of 24753 and 24769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24753 and 24769. First we will calculate the prime factors of 24753 and 24769.

Prime Factorization of 24753

Prime Factorization of 24769

Now multiplying the highest exponent prime factors to calculate the LCM of 24753 and 24769.

LCM(24753,24769) = 3¹ × 37¹ × 223¹ × 17¹ × 31¹ × 47¹
LCM(24753,24769) = 613107057