What is the Least Common Multiple of 62208 and 62217?

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 62208 and 62217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62208 and 62217, than apply into the LCM equation.

GCF(62208,62217) = 9
LCM(62208,62217) = ( 62208 × 62217) / 9
LCM(62208,62217) = 3870395136 / 9
LCM(62208,62217) = 430043904

Least Common Multiple (LCM) of 62208 and 62217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62208 and 62217. First we will calculate the prime factors of 62208 and 62217.

Prime Factorization of 62208

Prime Factorization of 62217

Now multiplying the highest exponent prime factors to calculate the LCM of 62208 and 62217.

LCM(62208,62217) = 2⁸ × 3⁵ × 31¹ × 223¹
LCM(62208,62217) = 430043904