What is the Least Common Multiple of 37792 and 37810?

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 37792 and 37810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37792 and 37810, than apply into the LCM equation.

GCF(37792,37810) = 2
LCM(37792,37810) = ( 37792 × 37810) / 2
LCM(37792,37810) = 1428915520 / 2
LCM(37792,37810) = 714457760

Least Common Multiple (LCM) of 37792 and 37810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37792 and 37810. First we will calculate the prime factors of 37792 and 37810.

Prime Factorization of 37792

Prime Factorization of 37810

Now multiplying the highest exponent prime factors to calculate the LCM of 37792 and 37810.

LCM(37792,37810) = 2⁵ × 1181¹ × 5¹ × 19¹ × 199¹
LCM(37792,37810) = 714457760