What is the Least Common Multiple of 54768 and 54782?

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 54768 and 54782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54768 and 54782, than apply into the LCM equation.

GCF(54768,54782) = 14
LCM(54768,54782) = ( 54768 × 54782) / 14
LCM(54768,54782) = 3000300576 / 14
LCM(54768,54782) = 214307184

Least Common Multiple (LCM) of 54768 and 54782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54768 and 54782. First we will calculate the prime factors of 54768 and 54782.

Prime Factorization of 54768

Prime Factorization of 54782

Now multiplying the highest exponent prime factors to calculate the LCM of 54768 and 54782.

LCM(54768,54782) = 2⁴ × 3¹ × 7² × 163¹ × 13¹ × 43¹
LCM(54768,54782) = 214307184