What is the Least Common Multiple of 97965 and 97971?

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 97965 and 97971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97965 and 97971, than apply into the LCM equation.

GCF(97965,97971) = 3
LCM(97965,97971) = ( 97965 × 97971) / 3
LCM(97965,97971) = 9597729015 / 3
LCM(97965,97971) = 3199243005

Least Common Multiple (LCM) of 97965 and 97971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97965 and 97971. First we will calculate the prime factors of 97965 and 97971.

Prime Factorization of 97965

Prime Factorization of 97971

Now multiplying the highest exponent prime factors to calculate the LCM of 97965 and 97971.

LCM(97965,97971) = 3² × 5¹ × 7¹ × 311¹ × 17² × 113¹
LCM(97965,97971) = 3199243005