What is the Least Common Multiple of 92028 and 92034?

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 92034 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 92034, than apply into the LCM equation.

GCF(92028,92034) = 6
LCM(92028,92034) = ( 92028 × 92034) / 6
LCM(92028,92034) = 8469704952 / 6
LCM(92028,92034) = 1411617492

Least Common Multiple (LCM) of 92028 and 92034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92028 and 92034. First we will calculate the prime factors of 92028 and 92034.

Prime Factorization of 92028

Prime Factorization of 92034

Now multiplying the highest exponent prime factors to calculate the LCM of 92028 and 92034.

LCM(92028,92034) = 2² × 3² × 7669¹ × 5113¹
LCM(92028,92034) = 1411617492