What is the Least Common Multiple of 97176 and 97196?

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 97176 and 97196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97176 and 97196, than apply into the LCM equation.

GCF(97176,97196) = 4
LCM(97176,97196) = ( 97176 × 97196) / 4
LCM(97176,97196) = 9445118496 / 4
LCM(97176,97196) = 2361279624

Least Common Multiple (LCM) of 97176 and 97196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97176 and 97196. First we will calculate the prime factors of 97176 and 97196.

Prime Factorization of 97176

Prime Factorization of 97196

Now multiplying the highest exponent prime factors to calculate the LCM of 97176 and 97196.

LCM(97176,97196) = 2³ × 3¹ × 4049¹ × 11¹ × 47²
LCM(97176,97196) = 2361279624