What is the Least Common Multiple of 63696 and 63702?

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 63696 and 63702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63696 and 63702, than apply into the LCM equation.

GCF(63696,63702) = 6
LCM(63696,63702) = ( 63696 × 63702) / 6
LCM(63696,63702) = 4057562592 / 6
LCM(63696,63702) = 676260432

Least Common Multiple (LCM) of 63696 and 63702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63696 and 63702. First we will calculate the prime factors of 63696 and 63702.

Prime Factorization of 63696

Prime Factorization of 63702

Now multiplying the highest exponent prime factors to calculate the LCM of 63696 and 63702.

LCM(63696,63702) = 2⁴ × 3² × 1327¹ × 3539¹
LCM(63696,63702) = 676260432