What is the Least Common Multiple of 38811 and 38827?

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 38811 and 38827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38811 and 38827, than apply into the LCM equation.

GCF(38811,38827) = 1
LCM(38811,38827) = ( 38811 × 38827) / 1
LCM(38811,38827) = 1506914697 / 1
LCM(38811,38827) = 1506914697

Least Common Multiple (LCM) of 38811 and 38827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38811 and 38827. First we will calculate the prime factors of 38811 and 38827.

Prime Factorization of 38811

Prime Factorization of 38827

Now multiplying the highest exponent prime factors to calculate the LCM of 38811 and 38827.

LCM(38811,38827) = 3¹ × 17¹ × 761¹ × 41¹ × 947¹
LCM(38811,38827) = 1506914697