What is the Least Common Multiple of 69696 and 69712?

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 69696 and 69712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69696 and 69712, than apply into the LCM equation.

GCF(69696,69712) = 16
LCM(69696,69712) = ( 69696 × 69712) / 16
LCM(69696,69712) = 4858647552 / 16
LCM(69696,69712) = 303665472

Least Common Multiple (LCM) of 69696 and 69712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69696 and 69712. First we will calculate the prime factors of 69696 and 69712.

Prime Factorization of 69696

Prime Factorization of 69712

Now multiplying the highest exponent prime factors to calculate the LCM of 69696 and 69712.

LCM(69696,69712) = 2⁶ × 3² × 11² × 4357¹
LCM(69696,69712) = 303665472