What is the Least Common Multiple of 59782 and 59788?

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 59782 and 59788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59782 and 59788, than apply into the LCM equation.

GCF(59782,59788) = 2
LCM(59782,59788) = ( 59782 × 59788) / 2
LCM(59782,59788) = 3574246216 / 2
LCM(59782,59788) = 1787123108

Least Common Multiple (LCM) of 59782 and 59788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59782 and 59788. First we will calculate the prime factors of 59782 and 59788.

Prime Factorization of 59782

Prime Factorization of 59788

Now multiplying the highest exponent prime factors to calculate the LCM of 59782 and 59788.

LCM(59782,59788) = 2² × 71¹ × 421¹ × 14947¹
LCM(59782,59788) = 1787123108