What is the Least Common Multiple of 37076 and 37083?

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 37076 and 37083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37076 and 37083, than apply into the LCM equation.

GCF(37076,37083) = 1
LCM(37076,37083) = ( 37076 × 37083) / 1
LCM(37076,37083) = 1374889308 / 1
LCM(37076,37083) = 1374889308

Least Common Multiple (LCM) of 37076 and 37083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37076 and 37083. First we will calculate the prime factors of 37076 and 37083.

Prime Factorization of 37076

Prime Factorization of 37083

Now multiplying the highest exponent prime factors to calculate the LCM of 37076 and 37083.

LCM(37076,37083) = 2² × 13¹ × 23¹ × 31¹ × 3¹ × 47¹ × 263¹
LCM(37076,37083) = 1374889308