What is the Least Common Multiple of 63708 and 63718?

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 63708 and 63718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63708 and 63718, than apply into the LCM equation.

GCF(63708,63718) = 2
LCM(63708,63718) = ( 63708 × 63718) / 2
LCM(63708,63718) = 4059346344 / 2
LCM(63708,63718) = 2029673172

Least Common Multiple (LCM) of 63708 and 63718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63708 and 63718. First we will calculate the prime factors of 63708 and 63718.

Prime Factorization of 63708

Prime Factorization of 63718

Now multiplying the highest exponent prime factors to calculate the LCM of 63708 and 63718.

LCM(63708,63718) = 2² × 3¹ × 5309¹ × 31859¹
LCM(63708,63718) = 2029673172