What is the Least Common Multiple of 69536 and 69540?

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 69536 and 69540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69536 and 69540, than apply into the LCM equation.

GCF(69536,69540) = 4
LCM(69536,69540) = ( 69536 × 69540) / 4
LCM(69536,69540) = 4835533440 / 4
LCM(69536,69540) = 1208883360

Least Common Multiple (LCM) of 69536 and 69540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69536 and 69540. First we will calculate the prime factors of 69536 and 69540.

Prime Factorization of 69536

Prime Factorization of 69540

Now multiplying the highest exponent prime factors to calculate the LCM of 69536 and 69540.

LCM(69536,69540) = 2⁵ × 41¹ × 53¹ × 3¹ × 5¹ × 19¹ × 61¹
LCM(69536,69540) = 1208883360