What is the Least Common Multiple of 97744 and 97750?

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 97744 and 97750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97744 and 97750, than apply into the LCM equation.

GCF(97744,97750) = 2
LCM(97744,97750) = ( 97744 × 97750) / 2
LCM(97744,97750) = 9554476000 / 2
LCM(97744,97750) = 4777238000

Least Common Multiple (LCM) of 97744 and 97750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97744 and 97750. First we will calculate the prime factors of 97744 and 97750.

Prime Factorization of 97744

Prime Factorization of 97750

Now multiplying the highest exponent prime factors to calculate the LCM of 97744 and 97750.

LCM(97744,97750) = 2⁴ × 41¹ × 149¹ × 5³ × 17¹ × 23¹
LCM(97744,97750) = 4777238000