What is the Least Common Multiple of 69786 and 69801?

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 69786 and 69801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69786 and 69801, than apply into the LCM equation.

GCF(69786,69801) = 3
LCM(69786,69801) = ( 69786 × 69801) / 3
LCM(69786,69801) = 4871132586 / 3
LCM(69786,69801) = 1623710862

Least Common Multiple (LCM) of 69786 and 69801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69786 and 69801. First we will calculate the prime factors of 69786 and 69801.

Prime Factorization of 69786

Prime Factorization of 69801

Now multiplying the highest exponent prime factors to calculate the LCM of 69786 and 69801.

LCM(69786,69801) = 2¹ × 3² × 3877¹ × 53¹ × 439¹
LCM(69786,69801) = 1623710862