What is the Least Common Multiple of 67770 and 67782?

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 67770 and 67782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67770 and 67782, than apply into the LCM equation.

GCF(67770,67782) = 6
LCM(67770,67782) = ( 67770 × 67782) / 6
LCM(67770,67782) = 4593586140 / 6
LCM(67770,67782) = 765597690

Least Common Multiple (LCM) of 67770 and 67782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67770 and 67782. First we will calculate the prime factors of 67770 and 67782.

Prime Factorization of 67770

Prime Factorization of 67782

Now multiplying the highest exponent prime factors to calculate the LCM of 67770 and 67782.

LCM(67770,67782) = 2¹ × 3³ × 5¹ × 251¹ × 11¹ × 13¹ × 79¹
LCM(67770,67782) = 765597690