What is the Least Common Multiple of 42770 and 42782?

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 42770 and 42782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42770 and 42782, than apply into the LCM equation.

GCF(42770,42782) = 2
LCM(42770,42782) = ( 42770 × 42782) / 2
LCM(42770,42782) = 1829786140 / 2
LCM(42770,42782) = 914893070

Least Common Multiple (LCM) of 42770 and 42782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42770 and 42782. First we will calculate the prime factors of 42770 and 42782.

Prime Factorization of 42770

Prime Factorization of 42782

Now multiplying the highest exponent prime factors to calculate the LCM of 42770 and 42782.

LCM(42770,42782) = 2¹ × 5¹ × 7¹ × 13¹ × 47¹ × 21391¹
LCM(42770,42782) = 914893070