What is the Least Common Multiple of 93936 and 93947?

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 93936 and 93947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93936 and 93947, than apply into the LCM equation.

GCF(93936,93947) = 1
LCM(93936,93947) = ( 93936 × 93947) / 1
LCM(93936,93947) = 8825005392 / 1
LCM(93936,93947) = 8825005392

Least Common Multiple (LCM) of 93936 and 93947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93936 and 93947. First we will calculate the prime factors of 93936 and 93947.

Prime Factorization of 93936

Prime Factorization of 93947

Now multiplying the highest exponent prime factors to calculate the LCM of 93936 and 93947.

LCM(93936,93947) = 2⁴ × 3¹ × 19¹ × 103¹ × 7¹ × 13421¹
LCM(93936,93947) = 8825005392