What is the Least Common Multiple of 87725 and 87730?

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 87725 and 87730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87725 and 87730, than apply into the LCM equation.

GCF(87725,87730) = 5
LCM(87725,87730) = ( 87725 × 87730) / 5
LCM(87725,87730) = 7696114250 / 5
LCM(87725,87730) = 1539222850

Least Common Multiple (LCM) of 87725 and 87730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87725 and 87730. First we will calculate the prime factors of 87725 and 87730.

Prime Factorization of 87725

Prime Factorization of 87730

Now multiplying the highest exponent prime factors to calculate the LCM of 87725 and 87730.

LCM(87725,87730) = 5² × 11² × 29¹ × 2¹ × 31¹ × 283¹
LCM(87725,87730) = 1539222850