What is the Least Common Multiple of 37080 and 37084?

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 37080 and 37084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37080 and 37084, than apply into the LCM equation.

GCF(37080,37084) = 4
LCM(37080,37084) = ( 37080 × 37084) / 4
LCM(37080,37084) = 1375074720 / 4
LCM(37080,37084) = 343768680

Least Common Multiple (LCM) of 37080 and 37084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37080 and 37084. First we will calculate the prime factors of 37080 and 37084.

Prime Factorization of 37080

Prime Factorization of 37084

Now multiplying the highest exponent prime factors to calculate the LCM of 37080 and 37084.

LCM(37080,37084) = 2³ × 3² × 5¹ × 103¹ × 73¹ × 127¹
LCM(37080,37084) = 343768680