What is the Least Common Multiple of 97695 and 97706?

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 97695 and 97706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97695 and 97706, than apply into the LCM equation.

GCF(97695,97706) = 1
LCM(97695,97706) = ( 97695 × 97706) / 1
LCM(97695,97706) = 9545387670 / 1
LCM(97695,97706) = 9545387670

Least Common Multiple (LCM) of 97695 and 97706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97695 and 97706. First we will calculate the prime factors of 97695 and 97706.

Prime Factorization of 97695

Prime Factorization of 97706

Now multiplying the highest exponent prime factors to calculate the LCM of 97695 and 97706.

LCM(97695,97706) = 3² × 5¹ × 13¹ × 167¹ × 2¹ × 7² × 997¹
LCM(97695,97706) = 9545387670