What is the Least Common Multiple of 75332 and 75343?

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 75332 and 75343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75332 and 75343, than apply into the LCM equation.

GCF(75332,75343) = 1
LCM(75332,75343) = ( 75332 × 75343) / 1
LCM(75332,75343) = 5675738876 / 1
LCM(75332,75343) = 5675738876

Least Common Multiple (LCM) of 75332 and 75343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75332 and 75343. First we will calculate the prime factors of 75332 and 75343.

Prime Factorization of 75332

Prime Factorization of 75343

Now multiplying the highest exponent prime factors to calculate the LCM of 75332 and 75343.

LCM(75332,75343) = 2² × 37¹ × 509¹ × 59¹ × 1277¹
LCM(75332,75343) = 5675738876