What is the Least Common Multiple of 48052 and 48064?

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 48052 and 48064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48052 and 48064, than apply into the LCM equation.

GCF(48052,48064) = 4
LCM(48052,48064) = ( 48052 × 48064) / 4
LCM(48052,48064) = 2309571328 / 4
LCM(48052,48064) = 577392832

Least Common Multiple (LCM) of 48052 and 48064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48052 and 48064. First we will calculate the prime factors of 48052 and 48064.

Prime Factorization of 48052

Prime Factorization of 48064

Now multiplying the highest exponent prime factors to calculate the LCM of 48052 and 48064.

LCM(48052,48064) = 2⁶ × 41¹ × 293¹ × 751¹
LCM(48052,48064) = 577392832