What is the Least Common Multiple of 49589 and 49604?

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 49589 and 49604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49589 and 49604, than apply into the LCM equation.

GCF(49589,49604) = 1
LCM(49589,49604) = ( 49589 × 49604) / 1
LCM(49589,49604) = 2459812756 / 1
LCM(49589,49604) = 2459812756

Least Common Multiple (LCM) of 49589 and 49604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49589 and 49604. First we will calculate the prime factors of 49589 and 49604.

Prime Factorization of 49589

Prime Factorization of 49604

Now multiplying the highest exponent prime factors to calculate the LCM of 49589 and 49604.

LCM(49589,49604) = 17¹ × 2917¹ × 2² × 12401¹
LCM(49589,49604) = 2459812756