What is the Least Common Multiple of 95945 and 95955?

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 95945 and 95955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95945 and 95955, than apply into the LCM equation.

GCF(95945,95955) = 5
LCM(95945,95955) = ( 95945 × 95955) / 5
LCM(95945,95955) = 9206402475 / 5
LCM(95945,95955) = 1841280495

Least Common Multiple (LCM) of 95945 and 95955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95945 and 95955. First we will calculate the prime factors of 95945 and 95955.

Prime Factorization of 95945

Prime Factorization of 95955

Now multiplying the highest exponent prime factors to calculate the LCM of 95945 and 95955.

LCM(95945,95955) = 5¹ × 31¹ × 619¹ × 3¹ × 6397¹
LCM(95945,95955) = 1841280495