What is the Least Common Multiple of 97808 and 97814?

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 97808 and 97814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97808 and 97814, than apply into the LCM equation.

GCF(97808,97814) = 2
LCM(97808,97814) = ( 97808 × 97814) / 2
LCM(97808,97814) = 9566991712 / 2
LCM(97808,97814) = 4783495856

Least Common Multiple (LCM) of 97808 and 97814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97808 and 97814. First we will calculate the prime factors of 97808 and 97814.

Prime Factorization of 97808

Prime Factorization of 97814

Now multiplying the highest exponent prime factors to calculate the LCM of 97808 and 97814.

LCM(97808,97814) = 2⁴ × 6113¹ × 48907¹
LCM(97808,97814) = 4783495856