What is the Least Common Multiple of 97734 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 97734 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 97734 and 97750, than apply into the LCM equation.

GCF(97734,97750) = 2
LCM(97734,97750) = ( 97734 × 97750) / 2
LCM(97734,97750) = 9553498500 / 2
LCM(97734,97750) = 4776749250

Least Common Multiple (LCM) of 97734 and 97750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97734 and 97750. First we will calculate the prime factors of 97734 and 97750.

Prime Factorization of 97734

Prime Factorization of 97750

Now multiplying the highest exponent prime factors to calculate the LCM of 97734 and 97750.

LCM(97734,97750) = 2¹ × 3¹ × 7¹ × 13¹ × 179¹ × 5³ × 17¹ × 23¹
LCM(97734,97750) = 4776749250