What is the Least Common Multiple of 95532 and 95536?

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 95532 and 95536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95532 and 95536, than apply into the LCM equation.

GCF(95532,95536) = 4
LCM(95532,95536) = ( 95532 × 95536) / 4
LCM(95532,95536) = 9126745152 / 4
LCM(95532,95536) = 2281686288

Least Common Multiple (LCM) of 95532 and 95536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95532 and 95536. First we will calculate the prime factors of 95532 and 95536.

Prime Factorization of 95532

Prime Factorization of 95536

Now multiplying the highest exponent prime factors to calculate the LCM of 95532 and 95536.

LCM(95532,95536) = 2⁴ × 3¹ × 19¹ × 419¹ × 7¹ × 853¹
LCM(95532,95536) = 2281686288