What is the Least Common Multiple of 69642 and 69657?

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 69642 and 69657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69642 and 69657, than apply into the LCM equation.

GCF(69642,69657) = 3
LCM(69642,69657) = ( 69642 × 69657) / 3
LCM(69642,69657) = 4851052794 / 3
LCM(69642,69657) = 1617017598

Least Common Multiple (LCM) of 69642 and 69657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69642 and 69657. First we will calculate the prime factors of 69642 and 69657.

Prime Factorization of 69642

Prime Factorization of 69657

Now multiplying the highest exponent prime factors to calculate the LCM of 69642 and 69657.

LCM(69642,69657) = 2¹ × 3² × 53¹ × 73¹ × 7¹ × 31¹ × 107¹
LCM(69642,69657) = 1617017598