What is the Least Common Multiple of 37744 and 37754?

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 37744 and 37754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37744 and 37754, than apply into the LCM equation.

GCF(37744,37754) = 2
LCM(37744,37754) = ( 37744 × 37754) / 2
LCM(37744,37754) = 1424986976 / 2
LCM(37744,37754) = 712493488

Least Common Multiple (LCM) of 37744 and 37754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37744 and 37754. First we will calculate the prime factors of 37744 and 37754.

Prime Factorization of 37744

Prime Factorization of 37754

Now multiplying the highest exponent prime factors to calculate the LCM of 37744 and 37754.

LCM(37744,37754) = 2⁴ × 7¹ × 337¹ × 43¹ × 439¹
LCM(37744,37754) = 712493488