What is the Least Common Multiple of 93596 and 93611?

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 93596 and 93611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93596 and 93611, than apply into the LCM equation.

GCF(93596,93611) = 1
LCM(93596,93611) = ( 93596 × 93611) / 1
LCM(93596,93611) = 8761615156 / 1
LCM(93596,93611) = 8761615156

Least Common Multiple (LCM) of 93596 and 93611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93596 and 93611. First we will calculate the prime factors of 93596 and 93611.

Prime Factorization of 93596

Prime Factorization of 93611

Now multiplying the highest exponent prime factors to calculate the LCM of 93596 and 93611.

LCM(93596,93611) = 2² × 23399¹ × 7¹ × 43¹ × 311¹
LCM(93596,93611) = 8761615156