What is the Least Common Multiple of 40100 and 40105?

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 40100 and 40105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40100 and 40105, than apply into the LCM equation.

GCF(40100,40105) = 5
LCM(40100,40105) = ( 40100 × 40105) / 5
LCM(40100,40105) = 1608210500 / 5
LCM(40100,40105) = 321642100

Least Common Multiple (LCM) of 40100 and 40105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40100 and 40105. First we will calculate the prime factors of 40100 and 40105.

Prime Factorization of 40100

Prime Factorization of 40105

Now multiplying the highest exponent prime factors to calculate the LCM of 40100 and 40105.

LCM(40100,40105) = 2² × 5² × 401¹ × 13¹ × 617¹
LCM(40100,40105) = 321642100