What is the Least Common Multiple of 69776 and 69790?

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 69790 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 69790, than apply into the LCM equation.

GCF(69776,69790) = 14
LCM(69776,69790) = ( 69776 × 69790) / 14
LCM(69776,69790) = 4869667040 / 14
LCM(69776,69790) = 347833360

Least Common Multiple (LCM) of 69776 and 69790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69776 and 69790. First we will calculate the prime factors of 69776 and 69790.

Prime Factorization of 69776

Prime Factorization of 69790

Now multiplying the highest exponent prime factors to calculate the LCM of 69776 and 69790.

LCM(69776,69790) = 2⁴ × 7² × 89¹ × 5¹ × 997¹
LCM(69776,69790) = 347833360