What is the Least Common Multiple of 49812 and 49827?

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 49812 and 49827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49812 and 49827, than apply into the LCM equation.

GCF(49812,49827) = 3
LCM(49812,49827) = ( 49812 × 49827) / 3
LCM(49812,49827) = 2481982524 / 3
LCM(49812,49827) = 827327508

Least Common Multiple (LCM) of 49812 and 49827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49812 and 49827. First we will calculate the prime factors of 49812 and 49827.

Prime Factorization of 49812

Prime Factorization of 49827

Now multiplying the highest exponent prime factors to calculate the LCM of 49812 and 49827.

LCM(49812,49827) = 2² × 3¹ × 7¹ × 593¹ × 17¹ × 977¹
LCM(49812,49827) = 827327508