What is the Least Common Multiple of 63770 and 63782?

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 63770 and 63782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63770 and 63782, than apply into the LCM equation.

GCF(63770,63782) = 2
LCM(63770,63782) = ( 63770 × 63782) / 2
LCM(63770,63782) = 4067378140 / 2
LCM(63770,63782) = 2033689070

Least Common Multiple (LCM) of 63770 and 63782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63770 and 63782. First we will calculate the prime factors of 63770 and 63782.

Prime Factorization of 63770

Prime Factorization of 63782

Now multiplying the highest exponent prime factors to calculate the LCM of 63770 and 63782.

LCM(63770,63782) = 2¹ × 5¹ × 7¹ × 911¹ × 31891¹
LCM(63770,63782) = 2033689070