What is the Least Common Multiple of 97341 and 97349?

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 97341 and 97349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97341 and 97349, than apply into the LCM equation.

GCF(97341,97349) = 1
LCM(97341,97349) = ( 97341 × 97349) / 1
LCM(97341,97349) = 9476049009 / 1
LCM(97341,97349) = 9476049009

Least Common Multiple (LCM) of 97341 and 97349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97341 and 97349. First we will calculate the prime factors of 97341 and 97349.

Prime Factorization of 97341

Prime Factorization of 97349

Now multiplying the highest exponent prime factors to calculate the LCM of 97341 and 97349.

LCM(97341,97349) = 3¹ × 71¹ × 457¹ × 7¹ × 13907¹
LCM(97341,97349) = 9476049009