What is the Least Common Multiple of 62216 and 62234?

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 62216 and 62234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62216 and 62234, than apply into the LCM equation.

GCF(62216,62234) = 2
LCM(62216,62234) = ( 62216 × 62234) / 2
LCM(62216,62234) = 3871950544 / 2
LCM(62216,62234) = 1935975272

Least Common Multiple (LCM) of 62216 and 62234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62216 and 62234. First we will calculate the prime factors of 62216 and 62234.

Prime Factorization of 62216

Prime Factorization of 62234

Now multiplying the highest exponent prime factors to calculate the LCM of 62216 and 62234.

LCM(62216,62234) = 2³ × 7¹ × 11¹ × 101¹ × 29² × 37¹
LCM(62216,62234) = 1935975272