What is the Least Common Multiple of 77224 and 77238?

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 77224 and 77238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77224 and 77238, than apply into the LCM equation.

GCF(77224,77238) = 14
LCM(77224,77238) = ( 77224 × 77238) / 14
LCM(77224,77238) = 5964627312 / 14
LCM(77224,77238) = 426044808

Least Common Multiple (LCM) of 77224 and 77238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77224 and 77238. First we will calculate the prime factors of 77224 and 77238.

Prime Factorization of 77224

Prime Factorization of 77238

Now multiplying the highest exponent prime factors to calculate the LCM of 77224 and 77238.

LCM(77224,77238) = 2³ × 7² × 197¹ × 3² × 613¹
LCM(77224,77238) = 426044808