What is the Least Common Multiple of 37424 and 37438?

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 37438 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 37438, than apply into the LCM equation.

GCF(37424,37438) = 2
LCM(37424,37438) = ( 37424 × 37438) / 2
LCM(37424,37438) = 1401079712 / 2
LCM(37424,37438) = 700539856

Least Common Multiple (LCM) of 37424 and 37438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37424 and 37438. First we will calculate the prime factors of 37424 and 37438.

Prime Factorization of 37424

Prime Factorization of 37438

Now multiplying the highest exponent prime factors to calculate the LCM of 37424 and 37438.

LCM(37424,37438) = 2⁴ × 2339¹ × 18719¹
LCM(37424,37438) = 700539856