What is the Least Common Multiple of 53888 and 53893?

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 53888 and 53893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53888 and 53893, than apply into the LCM equation.

GCF(53888,53893) = 1
LCM(53888,53893) = ( 53888 × 53893) / 1
LCM(53888,53893) = 2904185984 / 1
LCM(53888,53893) = 2904185984

Least Common Multiple (LCM) of 53888 and 53893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53888 and 53893. First we will calculate the prime factors of 53888 and 53893.

Prime Factorization of 53888

Prime Factorization of 53893

Now multiplying the highest exponent prime factors to calculate the LCM of 53888 and 53893.

LCM(53888,53893) = 2⁷ × 421¹ × 7¹ × 7699¹
LCM(53888,53893) = 2904185984