What is the Least Common Multiple of 95523 and 95532?

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 95523 and 95532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95523 and 95532, than apply into the LCM equation.

GCF(95523,95532) = 3
LCM(95523,95532) = ( 95523 × 95532) / 3
LCM(95523,95532) = 9125503236 / 3
LCM(95523,95532) = 3041834412

Least Common Multiple (LCM) of 95523 and 95532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95523 and 95532. First we will calculate the prime factors of 95523 and 95532.

Prime Factorization of 95523

Prime Factorization of 95532

Now multiplying the highest exponent prime factors to calculate the LCM of 95523 and 95532.

LCM(95523,95532) = 3¹ × 17¹ × 1873¹ × 2² × 19¹ × 419¹
LCM(95523,95532) = 3041834412