What is the Least Common Multiple of 93954 and 93968?

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 93954 and 93968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93954 and 93968, than apply into the LCM equation.

GCF(93954,93968) = 14
LCM(93954,93968) = ( 93954 × 93968) / 14
LCM(93954,93968) = 8828669472 / 14
LCM(93954,93968) = 630619248

Least Common Multiple (LCM) of 93954 and 93968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93954 and 93968. First we will calculate the prime factors of 93954 and 93968.

Prime Factorization of 93954

Prime Factorization of 93968

Now multiplying the highest exponent prime factors to calculate the LCM of 93954 and 93968.

LCM(93954,93968) = 2⁴ × 3¹ × 7¹ × 2237¹ × 839¹
LCM(93954,93968) = 630619248