What is the Least Common Multiple of 97748 and 97759?

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 97748 and 97759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97748 and 97759, than apply into the LCM equation.

GCF(97748,97759) = 1
LCM(97748,97759) = ( 97748 × 97759) / 1
LCM(97748,97759) = 9555746732 / 1
LCM(97748,97759) = 9555746732

Least Common Multiple (LCM) of 97748 and 97759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97748 and 97759. First we will calculate the prime factors of 97748 and 97759.

Prime Factorization of 97748

Prime Factorization of 97759

Now multiplying the highest exponent prime factors to calculate the LCM of 97748 and 97759.

LCM(97748,97759) = 2² × 7¹ × 3491¹ × 29¹ × 3371¹
LCM(97748,97759) = 9555746732