What is the Least Common Multiple of 41536 and 41540?

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 41536 and 41540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41536 and 41540, than apply into the LCM equation.

GCF(41536,41540) = 4
LCM(41536,41540) = ( 41536 × 41540) / 4
LCM(41536,41540) = 1725405440 / 4
LCM(41536,41540) = 431351360

Least Common Multiple (LCM) of 41536 and 41540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41536 and 41540. First we will calculate the prime factors of 41536 and 41540.

Prime Factorization of 41536

Prime Factorization of 41540

Now multiplying the highest exponent prime factors to calculate the LCM of 41536 and 41540.

LCM(41536,41540) = 2⁶ × 11¹ × 59¹ × 5¹ × 31¹ × 67¹
LCM(41536,41540) = 431351360