What is the Least Common Multiple of 69656 and 69671?

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 69656 and 69671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69656 and 69671, than apply into the LCM equation.

GCF(69656,69671) = 1
LCM(69656,69671) = ( 69656 × 69671) / 1
LCM(69656,69671) = 4853003176 / 1
LCM(69656,69671) = 4853003176

Least Common Multiple (LCM) of 69656 and 69671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69656 and 69671. First we will calculate the prime factors of 69656 and 69671.

Prime Factorization of 69656

Prime Factorization of 69671

Now multiplying the highest exponent prime factors to calculate the LCM of 69656 and 69671.

LCM(69656,69671) = 2³ × 8707¹ × 7¹ × 37¹ × 269¹
LCM(69656,69671) = 4853003176