What is the Least Common Multiple of 88825 and 88841?

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 88825 and 88841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88825 and 88841, than apply into the LCM equation.

GCF(88825,88841) = 1
LCM(88825,88841) = ( 88825 × 88841) / 1
LCM(88825,88841) = 7891301825 / 1
LCM(88825,88841) = 7891301825

Least Common Multiple (LCM) of 88825 and 88841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88825 and 88841. First we will calculate the prime factors of 88825 and 88841.

Prime Factorization of 88825

Prime Factorization of 88841

Now multiplying the highest exponent prime factors to calculate the LCM of 88825 and 88841.

LCM(88825,88841) = 5² × 11¹ × 17¹ × 19¹ × 73¹ × 1217¹
LCM(88825,88841) = 7891301825