What is the Least Common Multiple of 40208 and 40222?

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 40222 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 40222, than apply into the LCM equation.

GCF(40208,40222) = 14
LCM(40208,40222) = ( 40208 × 40222) / 14
LCM(40208,40222) = 1617246176 / 14
LCM(40208,40222) = 115517584

Least Common Multiple (LCM) of 40208 and 40222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40208 and 40222. First we will calculate the prime factors of 40208 and 40222.

Prime Factorization of 40208

Prime Factorization of 40222

Now multiplying the highest exponent prime factors to calculate the LCM of 40208 and 40222.

LCM(40208,40222) = 2⁴ × 7¹ × 359¹ × 13² × 17¹
LCM(40208,40222) = 115517584