What is the Least Common Multiple of 23652 and 23669?

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 23652 and 23669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23652 and 23669, than apply into the LCM equation.

GCF(23652,23669) = 1
LCM(23652,23669) = ( 23652 × 23669) / 1
LCM(23652,23669) = 559819188 / 1
LCM(23652,23669) = 559819188

Least Common Multiple (LCM) of 23652 and 23669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23652 and 23669. First we will calculate the prime factors of 23652 and 23669.

Prime Factorization of 23652

Prime Factorization of 23669

Now multiplying the highest exponent prime factors to calculate the LCM of 23652 and 23669.

LCM(23652,23669) = 2² × 3⁴ × 73¹ × 23669¹
LCM(23652,23669) = 559819188