What is the Least Common Multiple of 24492 and 24506?

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 24492 and 24506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24492 and 24506, than apply into the LCM equation.

GCF(24492,24506) = 2
LCM(24492,24506) = ( 24492 × 24506) / 2
LCM(24492,24506) = 600200952 / 2
LCM(24492,24506) = 300100476

Least Common Multiple (LCM) of 24492 and 24506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24492 and 24506. First we will calculate the prime factors of 24492 and 24506.

Prime Factorization of 24492

Prime Factorization of 24506

Now multiplying the highest exponent prime factors to calculate the LCM of 24492 and 24506.

LCM(24492,24506) = 2² × 3¹ × 13¹ × 157¹ × 12253¹
LCM(24492,24506) = 300100476