What is the Least Common Multiple of 37824 and 37842?

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 37842 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 37842, than apply into the LCM equation.

GCF(37824,37842) = 6
LCM(37824,37842) = ( 37824 × 37842) / 6
LCM(37824,37842) = 1431335808 / 6
LCM(37824,37842) = 238555968

Least Common Multiple (LCM) of 37824 and 37842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37824 and 37842. First we will calculate the prime factors of 37824 and 37842.

Prime Factorization of 37824

Prime Factorization of 37842

Now multiplying the highest exponent prime factors to calculate the LCM of 37824 and 37842.

LCM(37824,37842) = 2⁶ × 3¹ × 197¹ × 7¹ × 17¹ × 53¹
LCM(37824,37842) = 238555968