What is the Least Common Multiple of 23074 and 23084?

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 23084 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 23084, than apply into the LCM equation.

GCF(23074,23084) = 2
LCM(23074,23084) = ( 23074 × 23084) / 2
LCM(23074,23084) = 532640216 / 2
LCM(23074,23084) = 266320108

Least Common Multiple (LCM) of 23074 and 23084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23074 and 23084. First we will calculate the prime factors of 23074 and 23084.

Prime Factorization of 23074

Prime Factorization of 23084

Now multiplying the highest exponent prime factors to calculate the LCM of 23074 and 23084.

LCM(23074,23084) = 2² × 83¹ × 139¹ × 29¹ × 199¹
LCM(23074,23084) = 266320108