What is the Least Common Multiple of 37824 and 37843?

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 37824 and 37843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37824 and 37843, than apply into the LCM equation.

GCF(37824,37843) = 1
LCM(37824,37843) = ( 37824 × 37843) / 1
LCM(37824,37843) = 1431373632 / 1
LCM(37824,37843) = 1431373632

Least Common Multiple (LCM) of 37824 and 37843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37824 and 37843. First we will calculate the prime factors of 37824 and 37843.

Prime Factorization of 37824

Prime Factorization of 37843

Now multiplying the highest exponent prime factors to calculate the LCM of 37824 and 37843.

LCM(37824,37843) = 2⁶ × 3¹ × 197¹ × 13¹ × 41¹ × 71¹
LCM(37824,37843) = 1431373632