What is the Least Common Multiple of 93954 and 93961?

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 93961 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 93961, than apply into the LCM equation.

GCF(93954,93961) = 7
LCM(93954,93961) = ( 93954 × 93961) / 7
LCM(93954,93961) = 8828011794 / 7
LCM(93954,93961) = 1261144542

Least Common Multiple (LCM) of 93954 and 93961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93954 and 93961. First we will calculate the prime factors of 93954 and 93961.

Prime Factorization of 93954

Prime Factorization of 93961

Now multiplying the highest exponent prime factors to calculate the LCM of 93954 and 93961.

LCM(93954,93961) = 2¹ × 3¹ × 7¹ × 2237¹ × 31¹ × 433¹
LCM(93954,93961) = 1261144542