What is the Least Common Multiple of 37890 and 37905?

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 37890 and 37905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37890 and 37905, than apply into the LCM equation.

GCF(37890,37905) = 15
LCM(37890,37905) = ( 37890 × 37905) / 15
LCM(37890,37905) = 1436220450 / 15
LCM(37890,37905) = 95748030

Least Common Multiple (LCM) of 37890 and 37905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37890 and 37905. First we will calculate the prime factors of 37890 and 37905.

Prime Factorization of 37890

Prime Factorization of 37905

Now multiplying the highest exponent prime factors to calculate the LCM of 37890 and 37905.

LCM(37890,37905) = 2¹ × 3² × 5¹ × 421¹ × 7¹ × 19²
LCM(37890,37905) = 95748030