What is the Least Common Multiple of 41040 and 41054?

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 41040 and 41054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41040 and 41054, than apply into the LCM equation.

GCF(41040,41054) = 2
LCM(41040,41054) = ( 41040 × 41054) / 2
LCM(41040,41054) = 1684856160 / 2
LCM(41040,41054) = 842428080

Least Common Multiple (LCM) of 41040 and 41054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41040 and 41054. First we will calculate the prime factors of 41040 and 41054.

Prime Factorization of 41040

Prime Factorization of 41054

Now multiplying the highest exponent prime factors to calculate the LCM of 41040 and 41054.

LCM(41040,41054) = 2⁴ × 3³ × 5¹ × 19¹ × 13¹ × 1579¹
LCM(41040,41054) = 842428080