What is the Least Common Multiple of 24787 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 24787 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 24787 and 24791, than apply into the LCM equation.

GCF(24787,24791) = 1
LCM(24787,24791) = ( 24787 × 24791) / 1
LCM(24787,24791) = 614494517 / 1
LCM(24787,24791) = 614494517

Least Common Multiple (LCM) of 24787 and 24791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24787 and 24791. First we will calculate the prime factors of 24787 and 24791.

Prime Factorization of 24787

Prime Factorization of 24791

Now multiplying the highest exponent prime factors to calculate the LCM of 24787 and 24791.

LCM(24787,24791) = 7¹ × 3541¹ × 13¹ × 1907¹
LCM(24787,24791) = 614494517