What is the Least Common Multiple of 63505 and 63518?

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 63505 and 63518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63505 and 63518, than apply into the LCM equation.

GCF(63505,63518) = 13
LCM(63505,63518) = ( 63505 × 63518) / 13
LCM(63505,63518) = 4033710590 / 13
LCM(63505,63518) = 310285430

Least Common Multiple (LCM) of 63505 and 63518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63505 and 63518. First we will calculate the prime factors of 63505 and 63518.

Prime Factorization of 63505

Prime Factorization of 63518

Now multiplying the highest exponent prime factors to calculate the LCM of 63505 and 63518.

LCM(63505,63518) = 5¹ × 13¹ × 977¹ × 2¹ × 7¹ × 349¹
LCM(63505,63518) = 310285430