What is the Least Common Multiple of 92944 and 92963?

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 92944 and 92963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92944 and 92963, than apply into the LCM equation.

GCF(92944,92963) = 1
LCM(92944,92963) = ( 92944 × 92963) / 1
LCM(92944,92963) = 8640353072 / 1
LCM(92944,92963) = 8640353072

Least Common Multiple (LCM) of 92944 and 92963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92944 and 92963. First we will calculate the prime factors of 92944 and 92963.

Prime Factorization of 92944

Prime Factorization of 92963

Now multiplying the highest exponent prime factors to calculate the LCM of 92944 and 92963.

LCM(92944,92963) = 2⁴ × 37¹ × 157¹ × 13¹ × 7151¹
LCM(92944,92963) = 8640353072