What is the Least Common Multiple of 95020 and 95038?

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 95020 and 95038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95020 and 95038, than apply into the LCM equation.

GCF(95020,95038) = 2
LCM(95020,95038) = ( 95020 × 95038) / 2
LCM(95020,95038) = 9030510760 / 2
LCM(95020,95038) = 4515255380

Least Common Multiple (LCM) of 95020 and 95038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95020 and 95038. First we will calculate the prime factors of 95020 and 95038.

Prime Factorization of 95020

Prime Factorization of 95038

Now multiplying the highest exponent prime factors to calculate the LCM of 95020 and 95038.

LCM(95020,95038) = 2² × 5¹ × 4751¹ × 19¹ × 41¹ × 61¹
LCM(95020,95038) = 4515255380