What is the Least Common Multiple of 23092 and 23107?

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 23092 and 23107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23092 and 23107, than apply into the LCM equation.

GCF(23092,23107) = 1
LCM(23092,23107) = ( 23092 × 23107) / 1
LCM(23092,23107) = 533586844 / 1
LCM(23092,23107) = 533586844

Least Common Multiple (LCM) of 23092 and 23107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23092 and 23107. First we will calculate the prime factors of 23092 and 23107.

Prime Factorization of 23092

Prime Factorization of 23107

Now multiplying the highest exponent prime factors to calculate the LCM of 23092 and 23107.

LCM(23092,23107) = 2² × 23¹ × 251¹ × 7¹ × 3301¹
LCM(23092,23107) = 533586844