What is the Least Common Multiple of 83770 and 83782?

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 83770 and 83782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83770 and 83782, than apply into the LCM equation.

GCF(83770,83782) = 2
LCM(83770,83782) = ( 83770 × 83782) / 2
LCM(83770,83782) = 7018418140 / 2
LCM(83770,83782) = 3509209070

Least Common Multiple (LCM) of 83770 and 83782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83770 and 83782. First we will calculate the prime factors of 83770 and 83782.

Prime Factorization of 83770

Prime Factorization of 83782

Now multiplying the highest exponent prime factors to calculate the LCM of 83770 and 83782.

LCM(83770,83782) = 2¹ × 5¹ × 8377¹ × 163¹ × 257¹
LCM(83770,83782) = 3509209070