What is the Least Common Multiple of 78496 and 78506?

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 78496 and 78506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78496 and 78506, than apply into the LCM equation.

GCF(78496,78506) = 2
LCM(78496,78506) = ( 78496 × 78506) / 2
LCM(78496,78506) = 6162406976 / 2
LCM(78496,78506) = 3081203488

Least Common Multiple (LCM) of 78496 and 78506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78496 and 78506. First we will calculate the prime factors of 78496 and 78506.

Prime Factorization of 78496

Prime Factorization of 78506

Now multiplying the highest exponent prime factors to calculate the LCM of 78496 and 78506.

LCM(78496,78506) = 2⁵ × 11¹ × 223¹ × 17¹ × 2309¹
LCM(78496,78506) = 3081203488