What is the Least Common Multiple of 95536 and 95540?

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 95536 and 95540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95536 and 95540, than apply into the LCM equation.

GCF(95536,95540) = 4
LCM(95536,95540) = ( 95536 × 95540) / 4
LCM(95536,95540) = 9127509440 / 4
LCM(95536,95540) = 2281877360

Least Common Multiple (LCM) of 95536 and 95540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95536 and 95540. First we will calculate the prime factors of 95536 and 95540.

Prime Factorization of 95536

Prime Factorization of 95540

Now multiplying the highest exponent prime factors to calculate the LCM of 95536 and 95540.

LCM(95536,95540) = 2⁴ × 7¹ × 853¹ × 5¹ × 17¹ × 281¹
LCM(95536,95540) = 2281877360