What is the Least Common Multiple of 40880 and 40894?

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 40894 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 40894, than apply into the LCM equation.

GCF(40880,40894) = 14
LCM(40880,40894) = ( 40880 × 40894) / 14
LCM(40880,40894) = 1671746720 / 14
LCM(40880,40894) = 119410480

Least Common Multiple (LCM) of 40880 and 40894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40880 and 40894. First we will calculate the prime factors of 40880 and 40894.

Prime Factorization of 40880

Prime Factorization of 40894

Now multiplying the highest exponent prime factors to calculate the LCM of 40880 and 40894.

LCM(40880,40894) = 2⁴ × 5¹ × 7¹ × 73¹ × 23¹ × 127¹
LCM(40880,40894) = 119410480