What is the Least Common Multiple of 95914 and 95922?

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 95914 and 95922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95914 and 95922, than apply into the LCM equation.

GCF(95914,95922) = 2
LCM(95914,95922) = ( 95914 × 95922) / 2
LCM(95914,95922) = 9200262708 / 2
LCM(95914,95922) = 4600131354

Least Common Multiple (LCM) of 95914 and 95922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95914 and 95922. First we will calculate the prime factors of 95914 and 95922.

Prime Factorization of 95914

Prime Factorization of 95922

Now multiplying the highest exponent prime factors to calculate the LCM of 95914 and 95922.

LCM(95914,95922) = 2¹ × 7¹ × 13¹ × 17¹ × 31¹ × 3² × 73²
LCM(95914,95922) = 4600131354