What is the Least Common Multiple of 37248 and 37259?

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 37248 and 37259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37248 and 37259, than apply into the LCM equation.

GCF(37248,37259) = 1
LCM(37248,37259) = ( 37248 × 37259) / 1
LCM(37248,37259) = 1387823232 / 1
LCM(37248,37259) = 1387823232

Least Common Multiple (LCM) of 37248 and 37259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37248 and 37259. First we will calculate the prime factors of 37248 and 37259.

Prime Factorization of 37248

Prime Factorization of 37259

Now multiplying the highest exponent prime factors to calculate the LCM of 37248 and 37259.

LCM(37248,37259) = 2⁷ × 3¹ × 97¹ × 19¹ × 37¹ × 53¹
LCM(37248,37259) = 1387823232