What is the Least Common Multiple of 41380 and 41392?

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 41380 and 41392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41380 and 41392, than apply into the LCM equation.

GCF(41380,41392) = 4
LCM(41380,41392) = ( 41380 × 41392) / 4
LCM(41380,41392) = 1712800960 / 4
LCM(41380,41392) = 428200240

Least Common Multiple (LCM) of 41380 and 41392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41380 and 41392. First we will calculate the prime factors of 41380 and 41392.

Prime Factorization of 41380

Prime Factorization of 41392

Now multiplying the highest exponent prime factors to calculate the LCM of 41380 and 41392.

LCM(41380,41392) = 2⁴ × 5¹ × 2069¹ × 13¹ × 199¹
LCM(41380,41392) = 428200240