What is the Least Common Multiple of 37809 and 37823?

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 37809 and 37823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37809 and 37823, than apply into the LCM equation.

GCF(37809,37823) = 1
LCM(37809,37823) = ( 37809 × 37823) / 1
LCM(37809,37823) = 1430049807 / 1
LCM(37809,37823) = 1430049807

Least Common Multiple (LCM) of 37809 and 37823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37809 and 37823. First we will calculate the prime factors of 37809 and 37823.

Prime Factorization of 37809

Prime Factorization of 37823

Now multiplying the highest exponent prime factors to calculate the LCM of 37809 and 37823.

LCM(37809,37823) = 3² × 4201¹ × 109¹ × 347¹
LCM(37809,37823) = 1430049807