What is the Least Common Multiple of 4949 and 4969?

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 4969 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 4969, than apply into the LCM equation.

GCF(4949,4969) = 1
LCM(4949,4969) = ( 4949 × 4969) / 1
LCM(4949,4969) = 24591581 / 1
LCM(4949,4969) = 24591581

Least Common Multiple (LCM) of 4949 and 4969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4949 and 4969. First we will calculate the prime factors of 4949 and 4969.

Prime Factorization of 4949

Prime Factorization of 4969

Now multiplying the highest exponent prime factors to calculate the LCM of 4949 and 4969.

LCM(4949,4969) = 7² × 101¹ × 4969¹
LCM(4949,4969) = 24591581