What is the Least Common Multiple of 97376 and 97380?

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 97380 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 97380, than apply into the LCM equation.

GCF(97376,97380) = 4
LCM(97376,97380) = ( 97376 × 97380) / 4
LCM(97376,97380) = 9482474880 / 4
LCM(97376,97380) = 2370618720

Least Common Multiple (LCM) of 97376 and 97380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97376 and 97380. First we will calculate the prime factors of 97376 and 97380.

Prime Factorization of 97376

Prime Factorization of 97380

Now multiplying the highest exponent prime factors to calculate the LCM of 97376 and 97380.

LCM(97376,97380) = 2⁵ × 17¹ × 179¹ × 3² × 5¹ × 541¹
LCM(97376,97380) = 2370618720