What is the Least Common Multiple of 62208 and 62214?

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 62214 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 62214, than apply into the LCM equation.

GCF(62208,62214) = 6
LCM(62208,62214) = ( 62208 × 62214) / 6
LCM(62208,62214) = 3870208512 / 6
LCM(62208,62214) = 645034752

Least Common Multiple (LCM) of 62208 and 62214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62208 and 62214. First we will calculate the prime factors of 62208 and 62214.

Prime Factorization of 62208

Prime Factorization of 62214

Now multiplying the highest exponent prime factors to calculate the LCM of 62208 and 62214.

LCM(62208,62214) = 2⁸ × 3⁵ × 10369¹
LCM(62208,62214) = 645034752