What is the Least Common Multiple of 23064 and 23074?

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 23064 and 23074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23064 and 23074, than apply into the LCM equation.

GCF(23064,23074) = 2
LCM(23064,23074) = ( 23064 × 23074) / 2
LCM(23064,23074) = 532178736 / 2
LCM(23064,23074) = 266089368

Least Common Multiple (LCM) of 23064 and 23074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23064 and 23074. First we will calculate the prime factors of 23064 and 23074.

Prime Factorization of 23064

Prime Factorization of 23074

Now multiplying the highest exponent prime factors to calculate the LCM of 23064 and 23074.

LCM(23064,23074) = 2³ × 3¹ × 31² × 83¹ × 139¹
LCM(23064,23074) = 266089368