What is the Least Common Multiple of 51224 and 51243?

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 51224 and 51243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51224 and 51243, than apply into the LCM equation.

GCF(51224,51243) = 19
LCM(51224,51243) = ( 51224 × 51243) / 19
LCM(51224,51243) = 2624871432 / 19
LCM(51224,51243) = 138151128

Least Common Multiple (LCM) of 51224 and 51243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51224 and 51243. First we will calculate the prime factors of 51224 and 51243.

Prime Factorization of 51224

Prime Factorization of 51243

Now multiplying the highest exponent prime factors to calculate the LCM of 51224 and 51243.

LCM(51224,51243) = 2³ × 19¹ × 337¹ × 3¹ × 29¹ × 31¹
LCM(51224,51243) = 138151128