What is the Least Common Multiple of 40960 and 40973?

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 40973 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 40973, than apply into the LCM equation.

GCF(40960,40973) = 1
LCM(40960,40973) = ( 40960 × 40973) / 1
LCM(40960,40973) = 1678254080 / 1
LCM(40960,40973) = 1678254080

Least Common Multiple (LCM) of 40960 and 40973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40960 and 40973. First we will calculate the prime factors of 40960 and 40973.

Prime Factorization of 40960

Prime Factorization of 40973

Now multiplying the highest exponent prime factors to calculate the LCM of 40960 and 40973.

LCM(40960,40973) = 2¹³ × 5¹ × 40973¹
LCM(40960,40973) = 1678254080