What is the Least Common Multiple of 37782 and 37792?

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 37782 and 37792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37782 and 37792, than apply into the LCM equation.

GCF(37782,37792) = 2
LCM(37782,37792) = ( 37782 × 37792) / 2
LCM(37782,37792) = 1427857344 / 2
LCM(37782,37792) = 713928672

Least Common Multiple (LCM) of 37782 and 37792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37782 and 37792. First we will calculate the prime factors of 37782 and 37792.

Prime Factorization of 37782

Prime Factorization of 37792

Now multiplying the highest exponent prime factors to calculate the LCM of 37782 and 37792.

LCM(37782,37792) = 2⁵ × 3² × 2099¹ × 1181¹
LCM(37782,37792) = 713928672