What is the Least Common Multiple of 63916 and 63935?

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 63916 and 63935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63916 and 63935, than apply into the LCM equation.

GCF(63916,63935) = 19
LCM(63916,63935) = ( 63916 × 63935) / 19
LCM(63916,63935) = 4086469460 / 19
LCM(63916,63935) = 215077340

Least Common Multiple (LCM) of 63916 and 63935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63916 and 63935. First we will calculate the prime factors of 63916 and 63935.

Prime Factorization of 63916

Prime Factorization of 63935

Now multiplying the highest exponent prime factors to calculate the LCM of 63916 and 63935.

LCM(63916,63935) = 2² × 19¹ × 29² × 5¹ × 673¹
LCM(63916,63935) = 215077340