What is the Least Common Multiple of 37797 and 37817?

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 37797 and 37817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37797 and 37817, than apply into the LCM equation.

GCF(37797,37817) = 1
LCM(37797,37817) = ( 37797 × 37817) / 1
LCM(37797,37817) = 1429369149 / 1
LCM(37797,37817) = 1429369149

Least Common Multiple (LCM) of 37797 and 37817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37797 and 37817. First we will calculate the prime factors of 37797 and 37817.

Prime Factorization of 37797

Prime Factorization of 37817

Now multiplying the highest exponent prime factors to calculate the LCM of 37797 and 37817.

LCM(37797,37817) = 3¹ × 43¹ × 293¹ × 13¹ × 2909¹
LCM(37797,37817) = 1429369149