What is the Least Common Multiple of 73675 and 73689?

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 73675 and 73689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73675 and 73689, than apply into the LCM equation.

GCF(73675,73689) = 7
LCM(73675,73689) = ( 73675 × 73689) / 7
LCM(73675,73689) = 5429037075 / 7
LCM(73675,73689) = 775576725

Least Common Multiple (LCM) of 73675 and 73689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73675 and 73689. First we will calculate the prime factors of 73675 and 73689.

Prime Factorization of 73675

Prime Factorization of 73689

Now multiplying the highest exponent prime factors to calculate the LCM of 73675 and 73689.

LCM(73675,73689) = 5² × 7¹ × 421¹ × 3¹ × 11² × 29¹
LCM(73675,73689) = 775576725