What is the Least Common Multiple of 23074 and 23081?

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 23074 and 23081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23074 and 23081, than apply into the LCM equation.

GCF(23074,23081) = 1
LCM(23074,23081) = ( 23074 × 23081) / 1
LCM(23074,23081) = 532570994 / 1
LCM(23074,23081) = 532570994

Least Common Multiple (LCM) of 23074 and 23081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23074 and 23081. First we will calculate the prime factors of 23074 and 23081.

Prime Factorization of 23074

Prime Factorization of 23081

Now multiplying the highest exponent prime factors to calculate the LCM of 23074 and 23081.

LCM(23074,23081) = 2¹ × 83¹ × 139¹ × 23081¹
LCM(23074,23081) = 532570994