What is the Least Common Multiple of 92028 and 92039?

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 92028 and 92039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92028 and 92039, than apply into the LCM equation.

GCF(92028,92039) = 1
LCM(92028,92039) = ( 92028 × 92039) / 1
LCM(92028,92039) = 8470165092 / 1
LCM(92028,92039) = 8470165092

Least Common Multiple (LCM) of 92028 and 92039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92028 and 92039. First we will calculate the prime factors of 92028 and 92039.

Prime Factorization of 92028

Prime Factorization of 92039

Now multiplying the highest exponent prime factors to calculate the LCM of 92028 and 92039.

LCM(92028,92039) = 2² × 3¹ × 7669¹ × 31¹ × 2969¹
LCM(92028,92039) = 8470165092