What is the Least Common Multiple of 97341 and 97357?

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 97357 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 97357, than apply into the LCM equation.

GCF(97341,97357) = 1
LCM(97341,97357) = ( 97341 × 97357) / 1
LCM(97341,97357) = 9476827737 / 1
LCM(97341,97357) = 9476827737

Least Common Multiple (LCM) of 97341 and 97357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97341 and 97357. First we will calculate the prime factors of 97341 and 97357.

Prime Factorization of 97341

Prime Factorization of 97357

Now multiplying the highest exponent prime factors to calculate the LCM of 97341 and 97357.

LCM(97341,97357) = 3¹ × 71¹ × 457¹ × 13¹ × 7489¹
LCM(97341,97357) = 9476827737