What is the Least Common Multiple of 63770 and 63777?

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 63777 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 63777, than apply into the LCM equation.

GCF(63770,63777) = 7
LCM(63770,63777) = ( 63770 × 63777) / 7
LCM(63770,63777) = 4067059290 / 7
LCM(63770,63777) = 581008470

Least Common Multiple (LCM) of 63770 and 63777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63770 and 63777. First we will calculate the prime factors of 63770 and 63777.

Prime Factorization of 63770

Prime Factorization of 63777

Now multiplying the highest exponent prime factors to calculate the LCM of 63770 and 63777.

LCM(63770,63777) = 2¹ × 5¹ × 7¹ × 911¹ × 3¹ × 3037¹
LCM(63770,63777) = 581008470