What is the Least Common Multiple of 63702 and 63717?

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 63702 and 63717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63702 and 63717, than apply into the LCM equation.

GCF(63702,63717) = 3
LCM(63702,63717) = ( 63702 × 63717) / 3
LCM(63702,63717) = 4058900334 / 3
LCM(63702,63717) = 1352966778

Least Common Multiple (LCM) of 63702 and 63717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63702 and 63717. First we will calculate the prime factors of 63702 and 63717.

Prime Factorization of 63702

Prime Factorization of 63717

Now multiplying the highest exponent prime factors to calculate the LCM of 63702 and 63717.

LCM(63702,63717) = 2¹ × 3² × 3539¹ × 67¹ × 317¹
LCM(63702,63717) = 1352966778