What is the Least Common Multiple of 37424 and 37433?

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 37424 and 37433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37424 and 37433, than apply into the LCM equation.

GCF(37424,37433) = 1
LCM(37424,37433) = ( 37424 × 37433) / 1
LCM(37424,37433) = 1400892592 / 1
LCM(37424,37433) = 1400892592

Least Common Multiple (LCM) of 37424 and 37433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37424 and 37433. First we will calculate the prime factors of 37424 and 37433.

Prime Factorization of 37424

Prime Factorization of 37433

Now multiplying the highest exponent prime factors to calculate the LCM of 37424 and 37433.

LCM(37424,37433) = 2⁴ × 2339¹ × 11¹ × 41¹ × 83¹
LCM(37424,37433) = 1400892592