What is the Least Common Multiple of 97750 and 97764?

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 97764 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 97764, than apply into the LCM equation.

GCF(97750,97764) = 2
LCM(97750,97764) = ( 97750 × 97764) / 2
LCM(97750,97764) = 9556431000 / 2
LCM(97750,97764) = 4778215500

Least Common Multiple (LCM) of 97750 and 97764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97750 and 97764. First we will calculate the prime factors of 97750 and 97764.

Prime Factorization of 97750

Prime Factorization of 97764

Now multiplying the highest exponent prime factors to calculate the LCM of 97750 and 97764.

LCM(97750,97764) = 2² × 5³ × 17¹ × 23¹ × 3¹ × 8147¹
LCM(97750,97764) = 4778215500