What is the Least Common Multiple of 78614 and 78619?

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 78614 and 78619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78614 and 78619, than apply into the LCM equation.

GCF(78614,78619) = 1
LCM(78614,78619) = ( 78614 × 78619) / 1
LCM(78614,78619) = 6180554066 / 1
LCM(78614,78619) = 6180554066

Least Common Multiple (LCM) of 78614 and 78619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78614 and 78619. First we will calculate the prime factors of 78614 and 78619.

Prime Factorization of 78614

Prime Factorization of 78619

Now multiplying the highest exponent prime factors to calculate the LCM of 78614 and 78619.

LCM(78614,78619) = 2¹ × 23¹ × 1709¹ × 29¹ × 2711¹
LCM(78614,78619) = 6180554066