What is the Least Common Multiple of 75536 and 75546?

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 75536 and 75546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75536 and 75546, than apply into the LCM equation.

GCF(75536,75546) = 2
LCM(75536,75546) = ( 75536 × 75546) / 2
LCM(75536,75546) = 5706442656 / 2
LCM(75536,75546) = 2853221328

Least Common Multiple (LCM) of 75536 and 75546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75536 and 75546. First we will calculate the prime factors of 75536 and 75546.

Prime Factorization of 75536

Prime Factorization of 75546

Now multiplying the highest exponent prime factors to calculate the LCM of 75536 and 75546.

LCM(75536,75546) = 2⁴ × 4721¹ × 3³ × 1399¹
LCM(75536,75546) = 2853221328