What is the Least Common Multiple of 32963 and 32969?

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 32963 and 32969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32963 and 32969, than apply into the LCM equation.

GCF(32963,32969) = 1
LCM(32963,32969) = ( 32963 × 32969) / 1
LCM(32963,32969) = 1086757147 / 1
LCM(32963,32969) = 1086757147

Least Common Multiple (LCM) of 32963 and 32969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32963 and 32969. First we will calculate the prime factors of 32963 and 32969.

Prime Factorization of 32963

Prime Factorization of 32969

Now multiplying the highest exponent prime factors to calculate the LCM of 32963 and 32969.

LCM(32963,32969) = 7¹ × 17¹ × 277¹ × 32969¹
LCM(32963,32969) = 1086757147