What is the Least Common Multiple of 23816 and 23836?

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 23816 and 23836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23816 and 23836, than apply into the LCM equation.

GCF(23816,23836) = 4
LCM(23816,23836) = ( 23816 × 23836) / 4
LCM(23816,23836) = 567678176 / 4
LCM(23816,23836) = 141919544

Least Common Multiple (LCM) of 23816 and 23836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23816 and 23836. First we will calculate the prime factors of 23816 and 23836.

Prime Factorization of 23816

Prime Factorization of 23836

Now multiplying the highest exponent prime factors to calculate the LCM of 23816 and 23836.

LCM(23816,23836) = 2³ × 13¹ × 229¹ × 59¹ × 101¹
LCM(23816,23836) = 141919544