What is the Least Common Multiple of 69776 and 69792?

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 69776 and 69792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69776 and 69792, than apply into the LCM equation.

GCF(69776,69792) = 16
LCM(69776,69792) = ( 69776 × 69792) / 16
LCM(69776,69792) = 4869806592 / 16
LCM(69776,69792) = 304362912

Least Common Multiple (LCM) of 69776 and 69792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69776 and 69792. First we will calculate the prime factors of 69776 and 69792.

Prime Factorization of 69776

Prime Factorization of 69792

Now multiplying the highest exponent prime factors to calculate the LCM of 69776 and 69792.

LCM(69776,69792) = 2⁵ × 7² × 89¹ × 3¹ × 727¹
LCM(69776,69792) = 304362912