What is the Least Common Multiple of 40208 and 40225?

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 40225 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 40225, than apply into the LCM equation.

GCF(40208,40225) = 1
LCM(40208,40225) = ( 40208 × 40225) / 1
LCM(40208,40225) = 1617366800 / 1
LCM(40208,40225) = 1617366800

Least Common Multiple (LCM) of 40208 and 40225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40208 and 40225. First we will calculate the prime factors of 40208 and 40225.

Prime Factorization of 40208

Prime Factorization of 40225

Now multiplying the highest exponent prime factors to calculate the LCM of 40208 and 40225.

LCM(40208,40225) = 2⁴ × 7¹ × 359¹ × 5² × 1609¹
LCM(40208,40225) = 1617366800