What is the Least Common Multiple of 78496 and 78503?

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 78503 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 78503, than apply into the LCM equation.

GCF(78496,78503) = 1
LCM(78496,78503) = ( 78496 × 78503) / 1
LCM(78496,78503) = 6162171488 / 1
LCM(78496,78503) = 6162171488

Least Common Multiple (LCM) of 78496 and 78503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78496 and 78503. First we will calculate the prime factors of 78496 and 78503.

Prime Factorization of 78496

Prime Factorization of 78503

Now multiplying the highest exponent prime factors to calculate the LCM of 78496 and 78503.

LCM(78496,78503) = 2⁵ × 11¹ × 223¹ × 29¹ × 2707¹
LCM(78496,78503) = 6162171488