What is the Least Common Multiple of 38095 and 38101?

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 38095 and 38101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38095 and 38101, than apply into the LCM equation.

GCF(38095,38101) = 1
LCM(38095,38101) = ( 38095 × 38101) / 1
LCM(38095,38101) = 1451457595 / 1
LCM(38095,38101) = 1451457595

Least Common Multiple (LCM) of 38095 and 38101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38095 and 38101. First we will calculate the prime factors of 38095 and 38101.

Prime Factorization of 38095

Prime Factorization of 38101

Now multiplying the highest exponent prime factors to calculate the LCM of 38095 and 38101.

LCM(38095,38101) = 5¹ × 19¹ × 401¹ × 7¹ × 5443¹
LCM(38095,38101) = 1451457595