What is the Least Common Multiple of 49278 and 49296?

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 49278 and 49296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49278 and 49296, than apply into the LCM equation.

GCF(49278,49296) = 6
LCM(49278,49296) = ( 49278 × 49296) / 6
LCM(49278,49296) = 2429208288 / 6
LCM(49278,49296) = 404868048

Least Common Multiple (LCM) of 49278 and 49296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49278 and 49296. First we will calculate the prime factors of 49278 and 49296.

Prime Factorization of 49278

Prime Factorization of 49296

Now multiplying the highest exponent prime factors to calculate the LCM of 49278 and 49296.

LCM(49278,49296) = 2⁴ × 3¹ × 43¹ × 191¹ × 13¹ × 79¹
LCM(49278,49296) = 404868048