What is the Least Common Multiple of 4949 and 4963?

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 4949 and 4963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4949 and 4963, than apply into the LCM equation.

GCF(4949,4963) = 7
LCM(4949,4963) = ( 4949 × 4963) / 7
LCM(4949,4963) = 24561887 / 7
LCM(4949,4963) = 3508841

Least Common Multiple (LCM) of 4949 and 4963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4949 and 4963. First we will calculate the prime factors of 4949 and 4963.

Prime Factorization of 4949

Prime Factorization of 4963

Now multiplying the highest exponent prime factors to calculate the LCM of 4949 and 4963.

LCM(4949,4963) = 7² × 101¹ × 709¹
LCM(4949,4963) = 3508841