What is the Least Common Multiple of 73675 and 73682?

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 73682 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 73682, than apply into the LCM equation.

GCF(73675,73682) = 7
LCM(73675,73682) = ( 73675 × 73682) / 7
LCM(73675,73682) = 5428521350 / 7
LCM(73675,73682) = 775503050

Least Common Multiple (LCM) of 73675 and 73682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73675 and 73682. First we will calculate the prime factors of 73675 and 73682.

Prime Factorization of 73675

Prime Factorization of 73682

Now multiplying the highest exponent prime factors to calculate the LCM of 73675 and 73682.

LCM(73675,73682) = 5² × 7¹ × 421¹ × 2¹ × 19¹ × 277¹
LCM(73675,73682) = 775503050