What is the Least Common Multiple of 69248 and 69252?

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 69248 and 69252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69248 and 69252, than apply into the LCM equation.

GCF(69248,69252) = 4
LCM(69248,69252) = ( 69248 × 69252) / 4
LCM(69248,69252) = 4795562496 / 4
LCM(69248,69252) = 1198890624

Least Common Multiple (LCM) of 69248 and 69252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69248 and 69252. First we will calculate the prime factors of 69248 and 69252.

Prime Factorization of 69248

Prime Factorization of 69252

Now multiplying the highest exponent prime factors to calculate the LCM of 69248 and 69252.

LCM(69248,69252) = 2⁷ × 541¹ × 3¹ × 29¹ × 199¹
LCM(69248,69252) = 1198890624