What is the Least Common Multiple of 49827 and 49847?

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 49827 and 49847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49827 and 49847, than apply into the LCM equation.

GCF(49827,49847) = 1
LCM(49827,49847) = ( 49827 × 49847) / 1
LCM(49827,49847) = 2483726469 / 1
LCM(49827,49847) = 2483726469

Least Common Multiple (LCM) of 49827 and 49847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49827 and 49847. First we will calculate the prime factors of 49827 and 49847.

Prime Factorization of 49827

Prime Factorization of 49847

Now multiplying the highest exponent prime factors to calculate the LCM of 49827 and 49847.

LCM(49827,49847) = 3¹ × 17¹ × 977¹ × 7¹ × 7121¹
LCM(49827,49847) = 2483726469