What is the Least Common Multiple of 49456 and 49470?

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 49456 and 49470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49456 and 49470, than apply into the LCM equation.

GCF(49456,49470) = 2
LCM(49456,49470) = ( 49456 × 49470) / 2
LCM(49456,49470) = 2446588320 / 2
LCM(49456,49470) = 1223294160

Least Common Multiple (LCM) of 49456 and 49470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49456 and 49470. First we will calculate the prime factors of 49456 and 49470.

Prime Factorization of 49456

Prime Factorization of 49470

Now multiplying the highest exponent prime factors to calculate the LCM of 49456 and 49470.

LCM(49456,49470) = 2⁴ × 11¹ × 281¹ × 3¹ × 5¹ × 17¹ × 97¹
LCM(49456,49470) = 1223294160