What is the Least Common Multiple of 87538 and 87549?

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 87538 and 87549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87538 and 87549, than apply into the LCM equation.

GCF(87538,87549) = 11
LCM(87538,87549) = ( 87538 × 87549) / 11
LCM(87538,87549) = 7663864362 / 11
LCM(87538,87549) = 696714942

Least Common Multiple (LCM) of 87538 and 87549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87538 and 87549. First we will calculate the prime factors of 87538 and 87549.

Prime Factorization of 87538

Prime Factorization of 87549

Now multiplying the highest exponent prime factors to calculate the LCM of 87538 and 87549.

LCM(87538,87549) = 2¹ × 11¹ × 23¹ × 173¹ × 3¹ × 7¹ × 379¹
LCM(87538,87549) = 696714942