What is the Least Common Multiple of 40960 and 40976?

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 40960 and 40976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40960 and 40976, than apply into the LCM equation.

GCF(40960,40976) = 16
LCM(40960,40976) = ( 40960 × 40976) / 16
LCM(40960,40976) = 1678376960 / 16
LCM(40960,40976) = 104898560

Least Common Multiple (LCM) of 40960 and 40976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40960 and 40976. First we will calculate the prime factors of 40960 and 40976.

Prime Factorization of 40960

Prime Factorization of 40976

Now multiplying the highest exponent prime factors to calculate the LCM of 40960 and 40976.

LCM(40960,40976) = 2¹³ × 5¹ × 13¹ × 197¹
LCM(40960,40976) = 104898560