What is the Least Common Multiple of 63963 and 63969?

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 63963 and 63969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63963 and 63969, than apply into the LCM equation.

GCF(63963,63969) = 3
LCM(63963,63969) = ( 63963 × 63969) / 3
LCM(63963,63969) = 4091649147 / 3
LCM(63963,63969) = 1363883049

Least Common Multiple (LCM) of 63963 and 63969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63963 and 63969. First we will calculate the prime factors of 63963 and 63969.

Prime Factorization of 63963

Prime Factorization of 63969

Now multiplying the highest exponent prime factors to calculate the LCM of 63963 and 63969.

LCM(63963,63969) = 3³ × 23¹ × 103¹ × 21323¹
LCM(63963,63969) = 1363883049