What is the Least Common Multiple of 78647 and 78653?

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 78647 and 78653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78647 and 78653, than apply into the LCM equation.

GCF(78647,78653) = 1
LCM(78647,78653) = ( 78647 × 78653) / 1
LCM(78647,78653) = 6185822491 / 1
LCM(78647,78653) = 6185822491

Least Common Multiple (LCM) of 78647 and 78653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78647 and 78653. First we will calculate the prime factors of 78647 and 78653.

Prime Factorization of 78647

Prime Factorization of 78653

Now multiplying the highest exponent prime factors to calculate the LCM of 78647 and 78653.

LCM(78647,78653) = 31¹ × 43¹ × 59¹ × 78653¹
LCM(78647,78653) = 6185822491