What is the Least Common Multiple of 62224 and 62236?

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 62224 and 62236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62224 and 62236, than apply into the LCM equation.

GCF(62224,62236) = 4
LCM(62224,62236) = ( 62224 × 62236) / 4
LCM(62224,62236) = 3872572864 / 4
LCM(62224,62236) = 968143216

Least Common Multiple (LCM) of 62224 and 62236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62224 and 62236. First we will calculate the prime factors of 62224 and 62236.

Prime Factorization of 62224

Prime Factorization of 62236

Now multiplying the highest exponent prime factors to calculate the LCM of 62224 and 62236.

LCM(62224,62236) = 2⁴ × 3889¹ × 15559¹
LCM(62224,62236) = 968143216