What is the Least Common Multiple of 24778 and 24792?

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 24778 and 24792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24778 and 24792, than apply into the LCM equation.

GCF(24778,24792) = 2
LCM(24778,24792) = ( 24778 × 24792) / 2
LCM(24778,24792) = 614296176 / 2
LCM(24778,24792) = 307148088

Least Common Multiple (LCM) of 24778 and 24792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24778 and 24792. First we will calculate the prime factors of 24778 and 24792.

Prime Factorization of 24778

Prime Factorization of 24792

Now multiplying the highest exponent prime factors to calculate the LCM of 24778 and 24792.

LCM(24778,24792) = 2³ × 13¹ × 953¹ × 3¹ × 1033¹
LCM(24778,24792) = 307148088