What is the Least Common Multiple of 97125 and 97143?

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 97125 and 97143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97125 and 97143, than apply into the LCM equation.

GCF(97125,97143) = 3
LCM(97125,97143) = ( 97125 × 97143) / 3
LCM(97125,97143) = 9435013875 / 3
LCM(97125,97143) = 3145004625

Least Common Multiple (LCM) of 97125 and 97143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97125 and 97143. First we will calculate the prime factors of 97125 and 97143.

Prime Factorization of 97125

Prime Factorization of 97143

Now multiplying the highest exponent prime factors to calculate the LCM of 97125 and 97143.

LCM(97125,97143) = 3¹ × 5³ × 7¹ × 37¹ × 32381¹
LCM(97125,97143) = 3145004625