What is the Least Common Multiple of 93968 and 93975?

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 93968 and 93975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93968 and 93975, than apply into the LCM equation.

GCF(93968,93975) = 7
LCM(93968,93975) = ( 93968 × 93975) / 7
LCM(93968,93975) = 8830642800 / 7
LCM(93968,93975) = 1261520400

Least Common Multiple (LCM) of 93968 and 93975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93968 and 93975. First we will calculate the prime factors of 93968 and 93975.

Prime Factorization of 93968

Prime Factorization of 93975

Now multiplying the highest exponent prime factors to calculate the LCM of 93968 and 93975.

LCM(93968,93975) = 2⁴ × 7¹ × 839¹ × 3¹ × 5² × 179¹
LCM(93968,93975) = 1261520400