What is the Least Common Multiple of 97695 and 97704?

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 97704 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 97704, than apply into the LCM equation.

GCF(97695,97704) = 9
LCM(97695,97704) = ( 97695 × 97704) / 9
LCM(97695,97704) = 9545192280 / 9
LCM(97695,97704) = 1060576920

Least Common Multiple (LCM) of 97695 and 97704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97695 and 97704. First we will calculate the prime factors of 97695 and 97704.

Prime Factorization of 97695

Prime Factorization of 97704

Now multiplying the highest exponent prime factors to calculate the LCM of 97695 and 97704.

LCM(97695,97704) = 3² × 5¹ × 13¹ × 167¹ × 2³ × 23¹ × 59¹
LCM(97695,97704) = 1060576920