What is the Least Common Multiple of 48412 and 48432?

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 48412 and 48432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48412 and 48432, than apply into the LCM equation.

GCF(48412,48432) = 4
LCM(48412,48432) = ( 48412 × 48432) / 4
LCM(48412,48432) = 2344689984 / 4
LCM(48412,48432) = 586172496

Least Common Multiple (LCM) of 48412 and 48432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48412 and 48432. First we will calculate the prime factors of 48412 and 48432.

Prime Factorization of 48412

Prime Factorization of 48432

Now multiplying the highest exponent prime factors to calculate the LCM of 48412 and 48432.

LCM(48412,48432) = 2⁴ × 7² × 13¹ × 19¹ × 3¹ × 1009¹
LCM(48412,48432) = 586172496