What is the Least Common Multiple of 37352 and 37369?

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 37352 and 37369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37352 and 37369, than apply into the LCM equation.

GCF(37352,37369) = 1
LCM(37352,37369) = ( 37352 × 37369) / 1
LCM(37352,37369) = 1395806888 / 1
LCM(37352,37369) = 1395806888

Least Common Multiple (LCM) of 37352 and 37369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37352 and 37369. First we will calculate the prime factors of 37352 and 37369.

Prime Factorization of 37352

Prime Factorization of 37369

Now multiplying the highest exponent prime factors to calculate the LCM of 37352 and 37369.

LCM(37352,37369) = 2³ × 7¹ × 23¹ × 29¹ × 37369¹
LCM(37352,37369) = 1395806888