What is the Least Common Multiple of 97353 and 97373?

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 97353 and 97373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97353 and 97373, than apply into the LCM equation.

GCF(97353,97373) = 1
LCM(97353,97373) = ( 97353 × 97373) / 1
LCM(97353,97373) = 9479553669 / 1
LCM(97353,97373) = 9479553669

Least Common Multiple (LCM) of 97353 and 97373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97353 and 97373. First we will calculate the prime factors of 97353 and 97373.

Prime Factorization of 97353

Prime Factorization of 97373

Now multiplying the highest exponent prime factors to calculate the LCM of 97353 and 97373.

LCM(97353,97373) = 3² × 29¹ × 373¹ × 97373¹
LCM(97353,97373) = 9479553669