What is the Least Common Multiple of 97814 and 97819?

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 97814 and 97819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97814 and 97819, than apply into the LCM equation.

GCF(97814,97819) = 1
LCM(97814,97819) = ( 97814 × 97819) / 1
LCM(97814,97819) = 9568067666 / 1
LCM(97814,97819) = 9568067666

Least Common Multiple (LCM) of 97814 and 97819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97814 and 97819. First we will calculate the prime factors of 97814 and 97819.

Prime Factorization of 97814

Prime Factorization of 97819

Now multiplying the highest exponent prime factors to calculate the LCM of 97814 and 97819.

LCM(97814,97819) = 2¹ × 48907¹ × 23¹ × 4253¹
LCM(97814,97819) = 9568067666