What is the Least Common Multiple of 96536 and 96546?

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 96536 and 96546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96536 and 96546, than apply into the LCM equation.

GCF(96536,96546) = 2
LCM(96536,96546) = ( 96536 × 96546) / 2
LCM(96536,96546) = 9320164656 / 2
LCM(96536,96546) = 4660082328

Least Common Multiple (LCM) of 96536 and 96546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96536 and 96546. First we will calculate the prime factors of 96536 and 96546.

Prime Factorization of 96536

Prime Factorization of 96546

Now multiplying the highest exponent prime factors to calculate the LCM of 96536 and 96546.

LCM(96536,96546) = 2³ × 11¹ × 1097¹ × 3¹ × 16091¹
LCM(96536,96546) = 4660082328