What is the Least Common Multiple of 37431 and 37449?

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 37431 and 37449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37431 and 37449, than apply into the LCM equation.

GCF(37431,37449) = 9
LCM(37431,37449) = ( 37431 × 37449) / 9
LCM(37431,37449) = 1401753519 / 9
LCM(37431,37449) = 155750391

Least Common Multiple (LCM) of 37431 and 37449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37431 and 37449. First we will calculate the prime factors of 37431 and 37449.

Prime Factorization of 37431

Prime Factorization of 37449

Now multiplying the highest exponent prime factors to calculate the LCM of 37431 and 37449.

LCM(37431,37449) = 3³ × 4159¹ × 19¹ × 73¹
LCM(37431,37449) = 155750391