What is the Least Common Multiple of 48032 and 48052?

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 48032 and 48052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48032 and 48052, than apply into the LCM equation.

GCF(48032,48052) = 4
LCM(48032,48052) = ( 48032 × 48052) / 4
LCM(48032,48052) = 2308033664 / 4
LCM(48032,48052) = 577008416

Least Common Multiple (LCM) of 48032 and 48052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48032 and 48052. First we will calculate the prime factors of 48032 and 48052.

Prime Factorization of 48032

Prime Factorization of 48052

Now multiplying the highest exponent prime factors to calculate the LCM of 48032 and 48052.

LCM(48032,48052) = 2⁵ × 19¹ × 79¹ × 41¹ × 293¹
LCM(48032,48052) = 577008416