What is the Least Common Multiple of 37892 and 37904?

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 37892 and 37904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37892 and 37904, than apply into the LCM equation.

GCF(37892,37904) = 4
LCM(37892,37904) = ( 37892 × 37904) / 4
LCM(37892,37904) = 1436258368 / 4
LCM(37892,37904) = 359064592

Least Common Multiple (LCM) of 37892 and 37904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37892 and 37904. First we will calculate the prime factors of 37892 and 37904.

Prime Factorization of 37892

Prime Factorization of 37904

Now multiplying the highest exponent prime factors to calculate the LCM of 37892 and 37904.

LCM(37892,37904) = 2⁴ × 9473¹ × 23¹ × 103¹
LCM(37892,37904) = 359064592