What is the Least Common Multiple of 88954 and 88960?

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 88954 and 88960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88954 and 88960, than apply into the LCM equation.

GCF(88954,88960) = 2
LCM(88954,88960) = ( 88954 × 88960) / 2
LCM(88954,88960) = 7913347840 / 2
LCM(88954,88960) = 3956673920

Least Common Multiple (LCM) of 88954 and 88960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88954 and 88960. First we will calculate the prime factors of 88954 and 88960.

Prime Factorization of 88954

Prime Factorization of 88960

Now multiplying the highest exponent prime factors to calculate the LCM of 88954 and 88960.

LCM(88954,88960) = 2⁷ × 79¹ × 563¹ × 5¹ × 139¹
LCM(88954,88960) = 3956673920