What is the Least Common Multiple of 93936 and 93945?

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 93945 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 93945, than apply into the LCM equation.

GCF(93936,93945) = 3
LCM(93936,93945) = ( 93936 × 93945) / 3
LCM(93936,93945) = 8824817520 / 3
LCM(93936,93945) = 2941605840

Least Common Multiple (LCM) of 93936 and 93945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93936 and 93945. First we will calculate the prime factors of 93936 and 93945.

Prime Factorization of 93936

Prime Factorization of 93945

Now multiplying the highest exponent prime factors to calculate the LCM of 93936 and 93945.

LCM(93936,93945) = 2⁴ × 3¹ × 19¹ × 103¹ × 5¹ × 6263¹
LCM(93936,93945) = 2941605840