What is the Least Common Multiple of 97750 and 97768?

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 97750 and 97768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97750 and 97768, than apply into the LCM equation.

GCF(97750,97768) = 2
LCM(97750,97768) = ( 97750 × 97768) / 2
LCM(97750,97768) = 9556822000 / 2
LCM(97750,97768) = 4778411000

Least Common Multiple (LCM) of 97750 and 97768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97750 and 97768. First we will calculate the prime factors of 97750 and 97768.

Prime Factorization of 97750

Prime Factorization of 97768

Now multiplying the highest exponent prime factors to calculate the LCM of 97750 and 97768.

LCM(97750,97768) = 2³ × 5³ × 17¹ × 23¹ × 11² × 101¹
LCM(97750,97768) = 4778411000