What is the Least Common Multiple of 49731 and 49749?

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 49731 and 49749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49731 and 49749, than apply into the LCM equation.

GCF(49731,49749) = 3
LCM(49731,49749) = ( 49731 × 49749) / 3
LCM(49731,49749) = 2474067519 / 3
LCM(49731,49749) = 824689173

Least Common Multiple (LCM) of 49731 and 49749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49731 and 49749. First we will calculate the prime factors of 49731 and 49749.

Prime Factorization of 49731

Prime Factorization of 49749

Now multiplying the highest exponent prime factors to calculate the LCM of 49731 and 49749.

LCM(49731,49749) = 3¹ × 11² × 137¹ × 7¹ × 23¹ × 103¹
LCM(49731,49749) = 824689173