What is the Least Common Multiple of 70770 and 70782?

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 70770 and 70782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70770 and 70782, than apply into the LCM equation.

GCF(70770,70782) = 6
LCM(70770,70782) = ( 70770 × 70782) / 6
LCM(70770,70782) = 5009242140 / 6
LCM(70770,70782) = 834873690

Least Common Multiple (LCM) of 70770 and 70782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70770 and 70782. First we will calculate the prime factors of 70770 and 70782.

Prime Factorization of 70770

Prime Factorization of 70782

Now multiplying the highest exponent prime factors to calculate the LCM of 70770 and 70782.

LCM(70770,70782) = 2¹ × 3¹ × 5¹ × 7¹ × 337¹ × 47¹ × 251¹
LCM(70770,70782) = 834873690