What is the Least Common Multiple of 37084 and 37090?

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 37084 and 37090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37084 and 37090, than apply into the LCM equation.

GCF(37084,37090) = 2
LCM(37084,37090) = ( 37084 × 37090) / 2
LCM(37084,37090) = 1375445560 / 2
LCM(37084,37090) = 687722780

Least Common Multiple (LCM) of 37084 and 37090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37084 and 37090. First we will calculate the prime factors of 37084 and 37090.

Prime Factorization of 37084

Prime Factorization of 37090

Now multiplying the highest exponent prime factors to calculate the LCM of 37084 and 37090.

LCM(37084,37090) = 2² × 73¹ × 127¹ × 5¹ × 3709¹
LCM(37084,37090) = 687722780