What is the Least Common Multiple of 97374 and 97379?

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 97374 and 97379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97374 and 97379, than apply into the LCM equation.

GCF(97374,97379) = 1
LCM(97374,97379) = ( 97374 × 97379) / 1
LCM(97374,97379) = 9482182746 / 1
LCM(97374,97379) = 9482182746

Least Common Multiple (LCM) of 97374 and 97379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97374 and 97379. First we will calculate the prime factors of 97374 and 97379.

Prime Factorization of 97374

Prime Factorization of 97379

Now multiplying the highest exponent prime factors to calculate the LCM of 97374 and 97379.

LCM(97374,97379) = 2¹ × 3¹ × 16229¹ × 97379¹
LCM(97374,97379) = 9482182746