What is the Least Common Multiple of 4958 and 4975?

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 4958 and 4975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4958 and 4975, than apply into the LCM equation.

GCF(4958,4975) = 1
LCM(4958,4975) = ( 4958 × 4975) / 1
LCM(4958,4975) = 24666050 / 1
LCM(4958,4975) = 24666050

Least Common Multiple (LCM) of 4958 and 4975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4958 and 4975. First we will calculate the prime factors of 4958 and 4975.

Prime Factorization of 4958

Prime Factorization of 4975

Now multiplying the highest exponent prime factors to calculate the LCM of 4958 and 4975.

LCM(4958,4975) = 2¹ × 37¹ × 67¹ × 5² × 199¹
LCM(4958,4975) = 24666050