What is the Least Common Multiple of 35854 and 35864?

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 35854 and 35864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35854 and 35864, than apply into the LCM equation.

GCF(35854,35864) = 2
LCM(35854,35864) = ( 35854 × 35864) / 2
LCM(35854,35864) = 1285867856 / 2
LCM(35854,35864) = 642933928

Least Common Multiple (LCM) of 35854 and 35864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35854 and 35864. First we will calculate the prime factors of 35854 and 35864.

Prime Factorization of 35854

Prime Factorization of 35864

Now multiplying the highest exponent prime factors to calculate the LCM of 35854 and 35864.

LCM(35854,35864) = 2³ × 7¹ × 13¹ × 197¹ × 4483¹
LCM(35854,35864) = 642933928