What is the Least Common Multiple of 43092 and 43101?

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 43092 and 43101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43092 and 43101, than apply into the LCM equation.

GCF(43092,43101) = 9
LCM(43092,43101) = ( 43092 × 43101) / 9
LCM(43092,43101) = 1857308292 / 9
LCM(43092,43101) = 206367588

Least Common Multiple (LCM) of 43092 and 43101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43092 and 43101. First we will calculate the prime factors of 43092 and 43101.

Prime Factorization of 43092

Prime Factorization of 43101

Now multiplying the highest exponent prime factors to calculate the LCM of 43092 and 43101.

LCM(43092,43101) = 2² × 3⁴ × 7¹ × 19¹ × 4789¹
LCM(43092,43101) = 206367588