What is the Least Common Multiple of 97368 and 97376?

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 97368 and 97376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97368 and 97376, than apply into the LCM equation.

GCF(97368,97376) = 8
LCM(97368,97376) = ( 97368 × 97376) / 8
LCM(97368,97376) = 9481306368 / 8
LCM(97368,97376) = 1185163296

Least Common Multiple (LCM) of 97368 and 97376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97368 and 97376. First we will calculate the prime factors of 97368 and 97376.

Prime Factorization of 97368

Prime Factorization of 97376

Now multiplying the highest exponent prime factors to calculate the LCM of 97368 and 97376.

LCM(97368,97376) = 2⁵ × 3¹ × 4057¹ × 17¹ × 179¹
LCM(97368,97376) = 1185163296