What is the Least Common Multiple of 49731 and 49743?

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 49743 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 49743, than apply into the LCM equation.

GCF(49731,49743) = 3
LCM(49731,49743) = ( 49731 × 49743) / 3
LCM(49731,49743) = 2473769133 / 3
LCM(49731,49743) = 824589711

Least Common Multiple (LCM) of 49731 and 49743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49731 and 49743. First we will calculate the prime factors of 49731 and 49743.

Prime Factorization of 49731

Prime Factorization of 49743

Now multiplying the highest exponent prime factors to calculate the LCM of 49731 and 49743.

LCM(49731,49743) = 3² × 11² × 137¹ × 5527¹
LCM(49731,49743) = 824589711