What is the Least Common Multiple of 95284 and 95292?

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 95284 and 95292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95284 and 95292, than apply into the LCM equation.

GCF(95284,95292) = 4
LCM(95284,95292) = ( 95284 × 95292) / 4
LCM(95284,95292) = 9079802928 / 4
LCM(95284,95292) = 2269950732

Least Common Multiple (LCM) of 95284 and 95292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95284 and 95292. First we will calculate the prime factors of 95284 and 95292.

Prime Factorization of 95284

Prime Factorization of 95292

Now multiplying the highest exponent prime factors to calculate the LCM of 95284 and 95292.

LCM(95284,95292) = 2² × 7¹ × 41¹ × 83¹ × 3² × 2647¹
LCM(95284,95292) = 2269950732