What is the Least Common Multiple of 87825 and 87830?

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 87825 and 87830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87825 and 87830, than apply into the LCM equation.

GCF(87825,87830) = 5
LCM(87825,87830) = ( 87825 × 87830) / 5
LCM(87825,87830) = 7713669750 / 5
LCM(87825,87830) = 1542733950

Least Common Multiple (LCM) of 87825 and 87830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87825 and 87830. First we will calculate the prime factors of 87825 and 87830.

Prime Factorization of 87825

Prime Factorization of 87830

Now multiplying the highest exponent prime factors to calculate the LCM of 87825 and 87830.

LCM(87825,87830) = 3¹ × 5² × 1171¹ × 2¹ × 8783¹
LCM(87825,87830) = 1542733950