What is the Least Common Multiple of 69816 and 69835?

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 69816 and 69835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69816 and 69835, than apply into the LCM equation.

GCF(69816,69835) = 1
LCM(69816,69835) = ( 69816 × 69835) / 1
LCM(69816,69835) = 4875600360 / 1
LCM(69816,69835) = 4875600360

Least Common Multiple (LCM) of 69816 and 69835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69816 and 69835. First we will calculate the prime factors of 69816 and 69835.

Prime Factorization of 69816

Prime Factorization of 69835

Now multiplying the highest exponent prime factors to calculate the LCM of 69816 and 69835.

LCM(69816,69835) = 2³ × 3¹ × 2909¹ × 5¹ × 13967¹
LCM(69816,69835) = 4875600360