What is the Least Common Multiple of 97335 and 97341?

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 97335 and 97341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97335 and 97341, than apply into the LCM equation.

GCF(97335,97341) = 3
LCM(97335,97341) = ( 97335 × 97341) / 3
LCM(97335,97341) = 9474686235 / 3
LCM(97335,97341) = 3158228745

Least Common Multiple (LCM) of 97335 and 97341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97335 and 97341. First we will calculate the prime factors of 97335 and 97341.

Prime Factorization of 97335

Prime Factorization of 97341

Now multiplying the highest exponent prime factors to calculate the LCM of 97335 and 97341.

LCM(97335,97341) = 3³ × 5¹ × 7¹ × 103¹ × 71¹ × 457¹
LCM(97335,97341) = 3158228745