What is the Least Common Multiple of 97144 and 97153?

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 97144 and 97153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97144 and 97153, than apply into the LCM equation.

GCF(97144,97153) = 1
LCM(97144,97153) = ( 97144 × 97153) / 1
LCM(97144,97153) = 9437831032 / 1
LCM(97144,97153) = 9437831032

Least Common Multiple (LCM) of 97144 and 97153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97144 and 97153. First we will calculate the prime factors of 97144 and 97153.

Prime Factorization of 97144

Prime Factorization of 97153

Now multiplying the highest exponent prime factors to calculate the LCM of 97144 and 97153.

LCM(97144,97153) = 2³ × 12143¹ × 7¹ × 13879¹
LCM(97144,97153) = 9437831032