What is the Least Common Multiple of 69056 and 69074?

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 69056 and 69074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69056 and 69074, than apply into the LCM equation.

GCF(69056,69074) = 2
LCM(69056,69074) = ( 69056 × 69074) / 2
LCM(69056,69074) = 4769974144 / 2
LCM(69056,69074) = 2384987072

Least Common Multiple (LCM) of 69056 and 69074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69056 and 69074. First we will calculate the prime factors of 69056 and 69074.

Prime Factorization of 69056

Prime Factorization of 69074

Now multiplying the highest exponent prime factors to calculate the LCM of 69056 and 69074.

LCM(69056,69074) = 2⁶ × 13¹ × 83¹ × 34537¹
LCM(69056,69074) = 2384987072