What is the Least Common Multiple of 51216 and 51224?

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 51216 and 51224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51216 and 51224, than apply into the LCM equation.

GCF(51216,51224) = 8
LCM(51216,51224) = ( 51216 × 51224) / 8
LCM(51216,51224) = 2623488384 / 8
LCM(51216,51224) = 327936048

Least Common Multiple (LCM) of 51216 and 51224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51216 and 51224. First we will calculate the prime factors of 51216 and 51224.

Prime Factorization of 51216

Prime Factorization of 51224

Now multiplying the highest exponent prime factors to calculate the LCM of 51216 and 51224.

LCM(51216,51224) = 2⁴ × 3¹ × 11¹ × 97¹ × 19¹ × 337¹
LCM(51216,51224) = 327936048