What is the Least Common Multiple of 62264 and 62278?

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 62264 and 62278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62264 and 62278, than apply into the LCM equation.

GCF(62264,62278) = 2
LCM(62264,62278) = ( 62264 × 62278) / 2
LCM(62264,62278) = 3877677392 / 2
LCM(62264,62278) = 1938838696

Least Common Multiple (LCM) of 62264 and 62278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62264 and 62278. First we will calculate the prime factors of 62264 and 62278.

Prime Factorization of 62264

Prime Factorization of 62278

Now multiplying the highest exponent prime factors to calculate the LCM of 62264 and 62278.

LCM(62264,62278) = 2³ × 43¹ × 181¹ × 31139¹
LCM(62264,62278) = 1938838696