What is the Least Common Multiple of 78461 and 78479?

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 78461 and 78479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78461 and 78479, than apply into the LCM equation.

GCF(78461,78479) = 1
LCM(78461,78479) = ( 78461 × 78479) / 1
LCM(78461,78479) = 6157540819 / 1
LCM(78461,78479) = 6157540819

Least Common Multiple (LCM) of 78461 and 78479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78461 and 78479. First we will calculate the prime factors of 78461 and 78479.

Prime Factorization of 78461

Prime Factorization of 78479

Now multiplying the highest exponent prime factors to calculate the LCM of 78461 and 78479.

LCM(78461,78479) = 31¹ × 2531¹ × 78479¹
LCM(78461,78479) = 6157540819