What is the Least Common Multiple of 63978 and 63993?

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 63978 and 63993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63978 and 63993, than apply into the LCM equation.

GCF(63978,63993) = 3
LCM(63978,63993) = ( 63978 × 63993) / 3
LCM(63978,63993) = 4094144154 / 3
LCM(63978,63993) = 1364714718

Least Common Multiple (LCM) of 63978 and 63993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63978 and 63993. First we will calculate the prime factors of 63978 and 63993.

Prime Factorization of 63978

Prime Factorization of 63993

Now multiplying the highest exponent prime factors to calculate the LCM of 63978 and 63993.

LCM(63978,63993) = 2¹ × 3¹ × 10663¹ × 83¹ × 257¹
LCM(63978,63993) = 1364714718