What is the Least Common Multiple of 97119 and 97134?

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 97119 and 97134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97119 and 97134, than apply into the LCM equation.

GCF(97119,97134) = 3
LCM(97119,97134) = ( 97119 × 97134) / 3
LCM(97119,97134) = 9433556946 / 3
LCM(97119,97134) = 3144518982

Least Common Multiple (LCM) of 97119 and 97134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97119 and 97134. First we will calculate the prime factors of 97119 and 97134.

Prime Factorization of 97119

Prime Factorization of 97134

Now multiplying the highest exponent prime factors to calculate the LCM of 97119 and 97134.

LCM(97119,97134) = 3⁴ × 11¹ × 109¹ × 2¹ × 16189¹
LCM(97119,97134) = 3144518982