What is the Least Common Multiple of 69675 and 69687?

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 69675 and 69687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69675 and 69687, than apply into the LCM equation.

GCF(69675,69687) = 3
LCM(69675,69687) = ( 69675 × 69687) / 3
LCM(69675,69687) = 4855441725 / 3
LCM(69675,69687) = 1618480575

Least Common Multiple (LCM) of 69675 and 69687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69675 and 69687. First we will calculate the prime factors of 69675 and 69687.

Prime Factorization of 69675

Prime Factorization of 69687

Now multiplying the highest exponent prime factors to calculate the LCM of 69675 and 69687.

LCM(69675,69687) = 3³ × 5² × 929¹ × 29¹ × 89¹
LCM(69675,69687) = 1618480575