What is the Least Common Multiple of 37835 and 37853?

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 37835 and 37853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37835 and 37853, than apply into the LCM equation.

GCF(37835,37853) = 1
LCM(37835,37853) = ( 37835 × 37853) / 1
LCM(37835,37853) = 1432168255 / 1
LCM(37835,37853) = 1432168255

Least Common Multiple (LCM) of 37835 and 37853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37835 and 37853. First we will calculate the prime factors of 37835 and 37853.

Prime Factorization of 37835

Prime Factorization of 37853

Now multiplying the highest exponent prime factors to calculate the LCM of 37835 and 37853.

LCM(37835,37853) = 5¹ × 7¹ × 23¹ × 47¹ × 37853¹
LCM(37835,37853) = 1432168255