What is the Least Common Multiple of 97133 and 97141?

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 97133 and 97141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97133 and 97141, than apply into the LCM equation.

GCF(97133,97141) = 1
LCM(97133,97141) = ( 97133 × 97141) / 1
LCM(97133,97141) = 9435596753 / 1
LCM(97133,97141) = 9435596753

Least Common Multiple (LCM) of 97133 and 97141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97133 and 97141. First we will calculate the prime factors of 97133 and 97141.

Prime Factorization of 97133

Prime Factorization of 97141

Now multiplying the highest exponent prime factors to calculate the LCM of 97133 and 97141.

LCM(97133,97141) = 137¹ × 709¹ × 11¹ × 8831¹
LCM(97133,97141) = 9435596753