What is the Least Common Multiple of 87186 and 87201?

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 87186 and 87201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87186 and 87201, than apply into the LCM equation.

GCF(87186,87201) = 3
LCM(87186,87201) = ( 87186 × 87201) / 3
LCM(87186,87201) = 7602706386 / 3
LCM(87186,87201) = 2534235462

Least Common Multiple (LCM) of 87186 and 87201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87186 and 87201. First we will calculate the prime factors of 87186 and 87201.

Prime Factorization of 87186

Prime Factorization of 87201

Now multiplying the highest exponent prime factors to calculate the LCM of 87186 and 87201.

LCM(87186,87201) = 2¹ × 3² × 11¹ × 1321¹ × 9689¹
LCM(87186,87201) = 2534235462