What is the Least Common Multiple of 37510 and 37530?

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 37510 and 37530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37510 and 37530, than apply into the LCM equation.

GCF(37510,37530) = 10
LCM(37510,37530) = ( 37510 × 37530) / 10
LCM(37510,37530) = 1407750300 / 10
LCM(37510,37530) = 140775030

Least Common Multiple (LCM) of 37510 and 37530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37510 and 37530. First we will calculate the prime factors of 37510 and 37530.

Prime Factorization of 37510

Prime Factorization of 37530

Now multiplying the highest exponent prime factors to calculate the LCM of 37510 and 37530.

LCM(37510,37530) = 2¹ × 5¹ × 11² × 31¹ × 3³ × 139¹
LCM(37510,37530) = 140775030