What is the Least Common Multiple of 97349 and 97363?

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 97349 and 97363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97349 and 97363, than apply into the LCM equation.

GCF(97349,97363) = 7
LCM(97349,97363) = ( 97349 × 97363) / 7
LCM(97349,97363) = 9478190687 / 7
LCM(97349,97363) = 1354027241

Least Common Multiple (LCM) of 97349 and 97363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97349 and 97363. First we will calculate the prime factors of 97349 and 97363.

Prime Factorization of 97349

Prime Factorization of 97363

Now multiplying the highest exponent prime factors to calculate the LCM of 97349 and 97363.

LCM(97349,97363) = 7² × 13907¹ × 1987¹
LCM(97349,97363) = 1354027241