What is the Least Common Multiple of 59332 and 59338?

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 59332 and 59338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59332 and 59338, than apply into the LCM equation.

GCF(59332,59338) = 2
LCM(59332,59338) = ( 59332 × 59338) / 2
LCM(59332,59338) = 3520642216 / 2
LCM(59332,59338) = 1760321108

Least Common Multiple (LCM) of 59332 and 59338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59332 and 59338. First we will calculate the prime factors of 59332 and 59338.

Prime Factorization of 59332

Prime Factorization of 59338

Now multiplying the highest exponent prime factors to calculate the LCM of 59332 and 59338.

LCM(59332,59338) = 2² × 7¹ × 13¹ × 163¹ × 29669¹
LCM(59332,59338) = 1760321108