What is the Least Common Multiple of 95228 and 95235?

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 95235 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 95235, than apply into the LCM equation.

GCF(95228,95235) = 7
LCM(95228,95235) = ( 95228 × 95235) / 7
LCM(95228,95235) = 9069038580 / 7
LCM(95228,95235) = 1295576940

Least Common Multiple (LCM) of 95228 and 95235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95228 and 95235. First we will calculate the prime factors of 95228 and 95235.

Prime Factorization of 95228

Prime Factorization of 95235

Now multiplying the highest exponent prime factors to calculate the LCM of 95228 and 95235.

LCM(95228,95235) = 2² × 7¹ × 19¹ × 179¹ × 3¹ × 5¹ × 907¹
LCM(95228,95235) = 1295576940