What is the Least Common Multiple of 92929 and 92943?

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 92929 and 92943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92929 and 92943, than apply into the LCM equation.

GCF(92929,92943) = 1
LCM(92929,92943) = ( 92929 × 92943) / 1
LCM(92929,92943) = 8637100047 / 1
LCM(92929,92943) = 8637100047

Least Common Multiple (LCM) of 92929 and 92943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92929 and 92943. First we will calculate the prime factors of 92929 and 92943.

Prime Factorization of 92929

Prime Factorization of 92943

Now multiplying the highest exponent prime factors to calculate the LCM of 92929 and 92943.

LCM(92929,92943) = 19¹ × 67¹ × 73¹ × 3² × 23¹ × 449¹
LCM(92929,92943) = 8637100047