What is the Least Common Multiple of 37530 and 37541?

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 37530 and 37541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37530 and 37541, than apply into the LCM equation.

GCF(37530,37541) = 1
LCM(37530,37541) = ( 37530 × 37541) / 1
LCM(37530,37541) = 1408913730 / 1
LCM(37530,37541) = 1408913730

Least Common Multiple (LCM) of 37530 and 37541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37530 and 37541. First we will calculate the prime factors of 37530 and 37541.

Prime Factorization of 37530

Prime Factorization of 37541

Now multiplying the highest exponent prime factors to calculate the LCM of 37530 and 37541.

LCM(37530,37541) = 2¹ × 3³ × 5¹ × 139¹ × 7¹ × 31¹ × 173¹
LCM(37530,37541) = 1408913730