What is the Least Common Multiple of 8850 and 8864?

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 8850 and 8864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8850 and 8864, than apply into the LCM equation.

GCF(8850,8864) = 2
LCM(8850,8864) = ( 8850 × 8864) / 2
LCM(8850,8864) = 78446400 / 2
LCM(8850,8864) = 39223200

Least Common Multiple (LCM) of 8850 and 8864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8850 and 8864. First we will calculate the prime factors of 8850 and 8864.

Prime Factorization of 8850

Prime Factorization of 8864

Now multiplying the highest exponent prime factors to calculate the LCM of 8850 and 8864.

LCM(8850,8864) = 2⁵ × 3¹ × 5² × 59¹ × 277¹
LCM(8850,8864) = 39223200