What is the Least Common Multiple of 52096 and 52105?

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 52096 and 52105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52096 and 52105, than apply into the LCM equation.

GCF(52096,52105) = 1
LCM(52096,52105) = ( 52096 × 52105) / 1
LCM(52096,52105) = 2714462080 / 1
LCM(52096,52105) = 2714462080

Least Common Multiple (LCM) of 52096 and 52105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52096 and 52105. First we will calculate the prime factors of 52096 and 52105.

Prime Factorization of 52096

Prime Factorization of 52105

Now multiplying the highest exponent prime factors to calculate the LCM of 52096 and 52105.

LCM(52096,52105) = 2⁷ × 11¹ × 37¹ × 5¹ × 17¹ × 613¹
LCM(52096,52105) = 2714462080