What is the Least Common Multiple of 97947 and 97963?

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 97947 and 97963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97947 and 97963, than apply into the LCM equation.

GCF(97947,97963) = 1
LCM(97947,97963) = ( 97947 × 97963) / 1
LCM(97947,97963) = 9595181961 / 1
LCM(97947,97963) = 9595181961

Least Common Multiple (LCM) of 97947 and 97963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97947 and 97963. First we will calculate the prime factors of 97947 and 97963.

Prime Factorization of 97947

Prime Factorization of 97963

Now multiplying the highest exponent prime factors to calculate the LCM of 97947 and 97963.

LCM(97947,97963) = 3² × 10883¹ × 163¹ × 601¹
LCM(97947,97963) = 9595181961