What is the Least Common Multiple of 37804 and 37808?

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 37804 and 37808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37804 and 37808, than apply into the LCM equation.

GCF(37804,37808) = 4
LCM(37804,37808) = ( 37804 × 37808) / 4
LCM(37804,37808) = 1429293632 / 4
LCM(37804,37808) = 357323408

Least Common Multiple (LCM) of 37804 and 37808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37804 and 37808. First we will calculate the prime factors of 37804 and 37808.

Prime Factorization of 37804

Prime Factorization of 37808

Now multiplying the highest exponent prime factors to calculate the LCM of 37804 and 37808.

LCM(37804,37808) = 2⁴ × 13¹ × 727¹ × 17¹ × 139¹
LCM(37804,37808) = 357323408