What is the Least Common Multiple of 53872 and 53888?

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 53872 and 53888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53872 and 53888, than apply into the LCM equation.

GCF(53872,53888) = 16
LCM(53872,53888) = ( 53872 × 53888) / 16
LCM(53872,53888) = 2903054336 / 16
LCM(53872,53888) = 181440896

Least Common Multiple (LCM) of 53872 and 53888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53872 and 53888. First we will calculate the prime factors of 53872 and 53888.

Prime Factorization of 53872

Prime Factorization of 53888

Now multiplying the highest exponent prime factors to calculate the LCM of 53872 and 53888.

LCM(53872,53888) = 2⁷ × 7¹ × 13¹ × 37¹ × 421¹
LCM(53872,53888) = 181440896