What is the Least Common Multiple of 97396 and 97409?

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 97396 and 97409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97396 and 97409, than apply into the LCM equation.

GCF(97396,97409) = 13
LCM(97396,97409) = ( 97396 × 97409) / 13
LCM(97396,97409) = 9487246964 / 13
LCM(97396,97409) = 729788228

Least Common Multiple (LCM) of 97396 and 97409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97396 and 97409. First we will calculate the prime factors of 97396 and 97409.

Prime Factorization of 97396

Prime Factorization of 97409

Now multiplying the highest exponent prime factors to calculate the LCM of 97396 and 97409.

LCM(97396,97409) = 2² × 13¹ × 1873¹ × 59¹ × 127¹
LCM(97396,97409) = 729788228