What is the Least Common Multiple of 97668 and 97679?

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 97668 and 97679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97668 and 97679, than apply into the LCM equation.

GCF(97668,97679) = 1
LCM(97668,97679) = ( 97668 × 97679) / 1
LCM(97668,97679) = 9540112572 / 1
LCM(97668,97679) = 9540112572

Least Common Multiple (LCM) of 97668 and 97679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97668 and 97679. First we will calculate the prime factors of 97668 and 97679.

Prime Factorization of 97668

Prime Factorization of 97679

Now multiplying the highest exponent prime factors to calculate the LCM of 97668 and 97679.

LCM(97668,97679) = 2² × 3² × 2713¹ × 19¹ × 53¹ × 97¹
LCM(97668,97679) = 9540112572