What is the Least Common Multiple of 40960 and 40978?

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 40978 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 40978, than apply into the LCM equation.

GCF(40960,40978) = 2
LCM(40960,40978) = ( 40960 × 40978) / 2
LCM(40960,40978) = 1678458880 / 2
LCM(40960,40978) = 839229440

Least Common Multiple (LCM) of 40960 and 40978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40960 and 40978. First we will calculate the prime factors of 40960 and 40978.

Prime Factorization of 40960

Prime Factorization of 40978

Now multiplying the highest exponent prime factors to calculate the LCM of 40960 and 40978.

LCM(40960,40978) = 2¹³ × 5¹ × 7¹ × 2927¹
LCM(40960,40978) = 839229440