What is the Least Common Multiple of 93536 and 93546?

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 93536 and 93546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93536 and 93546, than apply into the LCM equation.

GCF(93536,93546) = 2
LCM(93536,93546) = ( 93536 × 93546) / 2
LCM(93536,93546) = 8749918656 / 2
LCM(93536,93546) = 4374959328

Least Common Multiple (LCM) of 93536 and 93546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93536 and 93546. First we will calculate the prime factors of 93536 and 93546.

Prime Factorization of 93536

Prime Factorization of 93546

Now multiplying the highest exponent prime factors to calculate the LCM of 93536 and 93546.

LCM(93536,93546) = 2⁵ × 37¹ × 79¹ × 3² × 5197¹
LCM(93536,93546) = 4374959328