What is the Least Common Multiple of 59765 and 59782?

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 59765 and 59782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59765 and 59782, than apply into the LCM equation.

GCF(59765,59782) = 1
LCM(59765,59782) = ( 59765 × 59782) / 1
LCM(59765,59782) = 3572871230 / 1
LCM(59765,59782) = 3572871230

Least Common Multiple (LCM) of 59765 and 59782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59765 and 59782. First we will calculate the prime factors of 59765 and 59782.

Prime Factorization of 59765

Prime Factorization of 59782

Now multiplying the highest exponent prime factors to calculate the LCM of 59765 and 59782.

LCM(59765,59782) = 5¹ × 11953¹ × 2¹ × 71¹ × 421¹
LCM(59765,59782) = 3572871230