What is the Least Common Multiple of 93471 and 93488?

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 93471 and 93488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93471 and 93488, than apply into the LCM equation.

GCF(93471,93488) = 1
LCM(93471,93488) = ( 93471 × 93488) / 1
LCM(93471,93488) = 8738416848 / 1
LCM(93471,93488) = 8738416848

Least Common Multiple (LCM) of 93471 and 93488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93471 and 93488. First we will calculate the prime factors of 93471 and 93488.

Prime Factorization of 93471

Prime Factorization of 93488

Now multiplying the highest exponent prime factors to calculate the LCM of 93471 and 93488.

LCM(93471,93488) = 3¹ × 7¹ × 4451¹ × 2⁴ × 5843¹
LCM(93471,93488) = 8738416848