What is the Least Common Multiple of 24778 and 24791?

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 24791 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 24791, than apply into the LCM equation.

GCF(24778,24791) = 13
LCM(24778,24791) = ( 24778 × 24791) / 13
LCM(24778,24791) = 614271398 / 13
LCM(24778,24791) = 47251646

Least Common Multiple (LCM) of 24778 and 24791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24778 and 24791. First we will calculate the prime factors of 24778 and 24791.

Prime Factorization of 24778

Prime Factorization of 24791

Now multiplying the highest exponent prime factors to calculate the LCM of 24778 and 24791.

LCM(24778,24791) = 2¹ × 13¹ × 953¹ × 1907¹
LCM(24778,24791) = 47251646