What is the Least Common Multiple of 40208 and 40212?

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 40208 and 40212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40208 and 40212, than apply into the LCM equation.

GCF(40208,40212) = 4
LCM(40208,40212) = ( 40208 × 40212) / 4
LCM(40208,40212) = 1616844096 / 4
LCM(40208,40212) = 404211024

Least Common Multiple (LCM) of 40208 and 40212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40208 and 40212. First we will calculate the prime factors of 40208 and 40212.

Prime Factorization of 40208

Prime Factorization of 40212

Now multiplying the highest exponent prime factors to calculate the LCM of 40208 and 40212.

LCM(40208,40212) = 2⁴ × 7¹ × 359¹ × 3² × 1117¹
LCM(40208,40212) = 404211024