What is the Least Common Multiple of 37414 and 37424?

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 37414 and 37424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37414 and 37424, than apply into the LCM equation.

GCF(37414,37424) = 2
LCM(37414,37424) = ( 37414 × 37424) / 2
LCM(37414,37424) = 1400181536 / 2
LCM(37414,37424) = 700090768

Least Common Multiple (LCM) of 37414 and 37424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37414 and 37424. First we will calculate the prime factors of 37414 and 37424.

Prime Factorization of 37414

Prime Factorization of 37424

Now multiplying the highest exponent prime factors to calculate the LCM of 37414 and 37424.

LCM(37414,37424) = 2⁴ × 13¹ × 1439¹ × 2339¹
LCM(37414,37424) = 700090768