What is the Least Common Multiple of 64536 and 64540?

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 64536 and 64540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64536 and 64540, than apply into the LCM equation.

GCF(64536,64540) = 4
LCM(64536,64540) = ( 64536 × 64540) / 4
LCM(64536,64540) = 4165153440 / 4
LCM(64536,64540) = 1041288360

Least Common Multiple (LCM) of 64536 and 64540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64536 and 64540. First we will calculate the prime factors of 64536 and 64540.

Prime Factorization of 64536

Prime Factorization of 64540

Now multiplying the highest exponent prime factors to calculate the LCM of 64536 and 64540.

LCM(64536,64540) = 2³ × 3¹ × 2689¹ × 5¹ × 7¹ × 461¹
LCM(64536,64540) = 1041288360