What is the Least Common Multiple of 97792 and 97810?

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 97792 and 97810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97792 and 97810, than apply into the LCM equation.

GCF(97792,97810) = 2
LCM(97792,97810) = ( 97792 × 97810) / 2
LCM(97792,97810) = 9565035520 / 2
LCM(97792,97810) = 4782517760

Least Common Multiple (LCM) of 97792 and 97810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97792 and 97810. First we will calculate the prime factors of 97792 and 97810.

Prime Factorization of 97792

Prime Factorization of 97810

Now multiplying the highest exponent prime factors to calculate the LCM of 97792 and 97810.

LCM(97792,97810) = 2⁹ × 191¹ × 5¹ × 9781¹
LCM(97792,97810) = 4782517760