What is the Least Common Multiple of 41234 and 41240?

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 41234 and 41240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41234 and 41240, than apply into the LCM equation.

GCF(41234,41240) = 2
LCM(41234,41240) = ( 41234 × 41240) / 2
LCM(41234,41240) = 1700490160 / 2
LCM(41234,41240) = 850245080

Least Common Multiple (LCM) of 41234 and 41240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41234 and 41240. First we will calculate the prime factors of 41234 and 41240.

Prime Factorization of 41234

Prime Factorization of 41240

Now multiplying the highest exponent prime factors to calculate the LCM of 41234 and 41240.

LCM(41234,41240) = 2³ × 53¹ × 389¹ × 5¹ × 1031¹
LCM(41234,41240) = 850245080