What is the Least Common Multiple of 97059 and 97077?

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 97059 and 97077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97059 and 97077, than apply into the LCM equation.

GCF(97059,97077) = 3
LCM(97059,97077) = ( 97059 × 97077) / 3
LCM(97059,97077) = 9422196543 / 3
LCM(97059,97077) = 3140732181

Least Common Multiple (LCM) of 97059 and 97077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97059 and 97077. First we will calculate the prime factors of 97059 and 97077.

Prime Factorization of 97059

Prime Factorization of 97077

Now multiplying the highest exponent prime factors to calculate the LCM of 97059 and 97077.

LCM(97059,97077) = 3¹ × 32353¹ × 32359¹
LCM(97059,97077) = 3140732181