What is the Least Common Multiple of 40880 and 40886?

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 40880 and 40886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40880 and 40886, than apply into the LCM equation.

GCF(40880,40886) = 2
LCM(40880,40886) = ( 40880 × 40886) / 2
LCM(40880,40886) = 1671419680 / 2
LCM(40880,40886) = 835709840

Least Common Multiple (LCM) of 40880 and 40886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40880 and 40886. First we will calculate the prime factors of 40880 and 40886.

Prime Factorization of 40880

Prime Factorization of 40886

Now multiplying the highest exponent prime factors to calculate the LCM of 40880 and 40886.

LCM(40880,40886) = 2⁴ × 5¹ × 7¹ × 73¹ × 20443¹
LCM(40880,40886) = 835709840