What is the Least Common Multiple of 40100 and 40114?

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 40114 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 40114, than apply into the LCM equation.

GCF(40100,40114) = 2
LCM(40100,40114) = ( 40100 × 40114) / 2
LCM(40100,40114) = 1608571400 / 2
LCM(40100,40114) = 804285700

Least Common Multiple (LCM) of 40100 and 40114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40100 and 40114. First we will calculate the prime factors of 40100 and 40114.

Prime Factorization of 40100

Prime Factorization of 40114

Now multiplying the highest exponent prime factors to calculate the LCM of 40100 and 40114.

LCM(40100,40114) = 2² × 5² × 401¹ × 31¹ × 647¹
LCM(40100,40114) = 804285700