What is the Least Common Multiple of 97376 and 97390?

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 97376 and 97390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97376 and 97390, than apply into the LCM equation.

GCF(97376,97390) = 2
LCM(97376,97390) = ( 97376 × 97390) / 2
LCM(97376,97390) = 9483448640 / 2
LCM(97376,97390) = 4741724320

Least Common Multiple (LCM) of 97376 and 97390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97376 and 97390. First we will calculate the prime factors of 97376 and 97390.

Prime Factorization of 97376

Prime Factorization of 97390

Now multiplying the highest exponent prime factors to calculate the LCM of 97376 and 97390.

LCM(97376,97390) = 2⁵ × 17¹ × 179¹ × 5¹ × 9739¹
LCM(97376,97390) = 4741724320