What is the Least Common Multiple of 37905 and 37919?

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 37905 and 37919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37905 and 37919, than apply into the LCM equation.

GCF(37905,37919) = 7
LCM(37905,37919) = ( 37905 × 37919) / 7
LCM(37905,37919) = 1437319695 / 7
LCM(37905,37919) = 205331385

Least Common Multiple (LCM) of 37905 and 37919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37905 and 37919. First we will calculate the prime factors of 37905 and 37919.

Prime Factorization of 37905

Prime Factorization of 37919

Now multiplying the highest exponent prime factors to calculate the LCM of 37905 and 37919.

LCM(37905,37919) = 3¹ × 5¹ × 7¹ × 19² × 5417¹
LCM(37905,37919) = 205331385