What is the Least Common Multiple of 24229 and 24236?

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 24229 and 24236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24229 and 24236, than apply into the LCM equation.

GCF(24229,24236) = 1
LCM(24229,24236) = ( 24229 × 24236) / 1
LCM(24229,24236) = 587214044 / 1
LCM(24229,24236) = 587214044

Least Common Multiple (LCM) of 24229 and 24236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24229 and 24236. First we will calculate the prime factors of 24229 and 24236.

Prime Factorization of 24229

Prime Factorization of 24236

Now multiplying the highest exponent prime factors to calculate the LCM of 24229 and 24236.

LCM(24229,24236) = 24229¹ × 2² × 73¹ × 83¹
LCM(24229,24236) = 587214044