What is the Least Common Multiple of 37324 and 37341?

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 37324 and 37341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37324 and 37341, than apply into the LCM equation.

GCF(37324,37341) = 1
LCM(37324,37341) = ( 37324 × 37341) / 1
LCM(37324,37341) = 1393715484 / 1
LCM(37324,37341) = 1393715484

Least Common Multiple (LCM) of 37324 and 37341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37324 and 37341. First we will calculate the prime factors of 37324 and 37341.

Prime Factorization of 37324

Prime Factorization of 37341

Now multiplying the highest exponent prime factors to calculate the LCM of 37324 and 37341.

LCM(37324,37341) = 2² × 7¹ × 31¹ × 43¹ × 3⁴ × 461¹
LCM(37324,37341) = 1393715484