What is the Least Common Multiple of 57770 and 57782?

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 57770 and 57782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57770 and 57782, than apply into the LCM equation.

GCF(57770,57782) = 2
LCM(57770,57782) = ( 57770 × 57782) / 2
LCM(57770,57782) = 3338066140 / 2
LCM(57770,57782) = 1669033070

Least Common Multiple (LCM) of 57770 and 57782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57770 and 57782. First we will calculate the prime factors of 57770 and 57782.

Prime Factorization of 57770

Prime Factorization of 57782

Now multiplying the highest exponent prime factors to calculate the LCM of 57770 and 57782.

LCM(57770,57782) = 2¹ × 5¹ × 53¹ × 109¹ × 167¹ × 173¹
LCM(57770,57782) = 1669033070