What is the Least Common Multiple of 97971 and 97991?

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 97971 and 97991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97971 and 97991, than apply into the LCM equation.

GCF(97971,97991) = 1
LCM(97971,97991) = ( 97971 × 97991) / 1
LCM(97971,97991) = 9600276261 / 1
LCM(97971,97991) = 9600276261

Least Common Multiple (LCM) of 97971 and 97991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97971 and 97991. First we will calculate the prime factors of 97971 and 97991.

Prime Factorization of 97971

Prime Factorization of 97991

Now multiplying the highest exponent prime factors to calculate the LCM of 97971 and 97991.

LCM(97971,97991) = 3¹ × 17² × 113¹ × 29¹ × 31¹ × 109¹
LCM(97971,97991) = 9600276261