What is the Least Common Multiple of 23722 and 23736?

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 23722 and 23736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23722 and 23736, than apply into the LCM equation.

GCF(23722,23736) = 2
LCM(23722,23736) = ( 23722 × 23736) / 2
LCM(23722,23736) = 563065392 / 2
LCM(23722,23736) = 281532696

Least Common Multiple (LCM) of 23722 and 23736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23722 and 23736. First we will calculate the prime factors of 23722 and 23736.

Prime Factorization of 23722

Prime Factorization of 23736

Now multiplying the highest exponent prime factors to calculate the LCM of 23722 and 23736.

LCM(23722,23736) = 2³ × 29¹ × 409¹ × 3¹ × 23¹ × 43¹
LCM(23722,23736) = 281532696