What is the Least Common Multiple of 69678 and 69696?

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 69678 and 69696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69678 and 69696, than apply into the LCM equation.

GCF(69678,69696) = 18
LCM(69678,69696) = ( 69678 × 69696) / 18
LCM(69678,69696) = 4856277888 / 18
LCM(69678,69696) = 269793216

Least Common Multiple (LCM) of 69678 and 69696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69678 and 69696. First we will calculate the prime factors of 69678 and 69696.

Prime Factorization of 69678

Prime Factorization of 69696

Now multiplying the highest exponent prime factors to calculate the LCM of 69678 and 69696.

LCM(69678,69696) = 2⁶ × 3² × 7² × 79¹ × 11²
LCM(69678,69696) = 269793216