What is the Least Common Multiple of 95228 and 95242?

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 95228 and 95242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95228 and 95242, than apply into the LCM equation.

GCF(95228,95242) = 14
LCM(95228,95242) = ( 95228 × 95242) / 14
LCM(95228,95242) = 9069705176 / 14
LCM(95228,95242) = 647836084

Least Common Multiple (LCM) of 95228 and 95242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95228 and 95242. First we will calculate the prime factors of 95228 and 95242.

Prime Factorization of 95228

Prime Factorization of 95242

Now multiplying the highest exponent prime factors to calculate the LCM of 95228 and 95242.

LCM(95228,95242) = 2² × 7¹ × 19¹ × 179¹ × 6803¹
LCM(95228,95242) = 647836084