What is the Least Common Multiple of 49793 and 49811?

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 49793 and 49811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49793 and 49811, than apply into the LCM equation.

GCF(49793,49811) = 1
LCM(49793,49811) = ( 49793 × 49811) / 1
LCM(49793,49811) = 2480239123 / 1
LCM(49793,49811) = 2480239123

Least Common Multiple (LCM) of 49793 and 49811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49793 and 49811. First we will calculate the prime factors of 49793 and 49811.

Prime Factorization of 49793

Prime Factorization of 49811

Now multiplying the highest exponent prime factors to calculate the LCM of 49793 and 49811.

LCM(49793,49811) = 17¹ × 29¹ × 101¹ × 49811¹
LCM(49793,49811) = 2480239123