What is the Least Common Multiple of 24977 and 24995?

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 24977 and 24995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24977 and 24995, than apply into the LCM equation.

GCF(24977,24995) = 1
LCM(24977,24995) = ( 24977 × 24995) / 1
LCM(24977,24995) = 624300115 / 1
LCM(24977,24995) = 624300115

Least Common Multiple (LCM) of 24977 and 24995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24977 and 24995. First we will calculate the prime factors of 24977 and 24995.

Prime Factorization of 24977

Prime Factorization of 24995

Now multiplying the highest exponent prime factors to calculate the LCM of 24977 and 24995.

LCM(24977,24995) = 24977¹ × 5¹ × 4999¹
LCM(24977,24995) = 624300115