What is the Least Common Multiple of 69624 and 69643?

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 69624 and 69643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69624 and 69643, than apply into the LCM equation.

GCF(69624,69643) = 1
LCM(69624,69643) = ( 69624 × 69643) / 1
LCM(69624,69643) = 4848824232 / 1
LCM(69624,69643) = 4848824232

Least Common Multiple (LCM) of 69624 and 69643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69624 and 69643. First we will calculate the prime factors of 69624 and 69643.

Prime Factorization of 69624

Prime Factorization of 69643

Now multiplying the highest exponent prime factors to calculate the LCM of 69624 and 69643.

LCM(69624,69643) = 2³ × 3² × 967¹ × 7¹ × 9949¹
LCM(69624,69643) = 4848824232