What is the Least Common Multiple of 95236 and 95250?

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 95236 and 95250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95236 and 95250, than apply into the LCM equation.

GCF(95236,95250) = 2
LCM(95236,95250) = ( 95236 × 95250) / 2
LCM(95236,95250) = 9071229000 / 2
LCM(95236,95250) = 4535614500

Least Common Multiple (LCM) of 95236 and 95250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95236 and 95250. First we will calculate the prime factors of 95236 and 95250.

Prime Factorization of 95236

Prime Factorization of 95250

Now multiplying the highest exponent prime factors to calculate the LCM of 95236 and 95250.

LCM(95236,95250) = 2² × 29¹ × 821¹ × 3¹ × 5³ × 127¹
LCM(95236,95250) = 4535614500