What is the Least Common Multiple of 59314 and 59332?

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 59314 and 59332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59314 and 59332, than apply into the LCM equation.

GCF(59314,59332) = 2
LCM(59314,59332) = ( 59314 × 59332) / 2
LCM(59314,59332) = 3519218248 / 2
LCM(59314,59332) = 1759609124

Least Common Multiple (LCM) of 59314 and 59332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59314 and 59332. First we will calculate the prime factors of 59314 and 59332.

Prime Factorization of 59314

Prime Factorization of 59332

Now multiplying the highest exponent prime factors to calculate the LCM of 59314 and 59332.

LCM(59314,59332) = 2² × 47¹ × 631¹ × 7¹ × 13¹ × 163¹
LCM(59314,59332) = 1759609124