What is the Least Common Multiple of 93940 and 93955?

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 93940 and 93955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93940 and 93955, than apply into the LCM equation.

GCF(93940,93955) = 5
LCM(93940,93955) = ( 93940 × 93955) / 5
LCM(93940,93955) = 8826132700 / 5
LCM(93940,93955) = 1765226540

Least Common Multiple (LCM) of 93940 and 93955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93940 and 93955. First we will calculate the prime factors of 93940 and 93955.

Prime Factorization of 93940

Prime Factorization of 93955

Now multiplying the highest exponent prime factors to calculate the LCM of 93940 and 93955.

LCM(93940,93955) = 2² × 5¹ × 7¹ × 11¹ × 61¹ × 19¹ × 23¹ × 43¹
LCM(93940,93955) = 1765226540