What is the Least Common Multiple of 87730 and 87745?

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 87730 and 87745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87730 and 87745, than apply into the LCM equation.

GCF(87730,87745) = 5
LCM(87730,87745) = ( 87730 × 87745) / 5
LCM(87730,87745) = 7697868850 / 5
LCM(87730,87745) = 1539573770

Least Common Multiple (LCM) of 87730 and 87745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87730 and 87745. First we will calculate the prime factors of 87730 and 87745.

Prime Factorization of 87730

Prime Factorization of 87745

Now multiplying the highest exponent prime factors to calculate the LCM of 87730 and 87745.

LCM(87730,87745) = 2¹ × 5¹ × 31¹ × 283¹ × 7¹ × 23¹ × 109¹
LCM(87730,87745) = 1539573770