What is the Least Common Multiple of 87132 and 87146?

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 87132 and 87146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87132 and 87146, than apply into the LCM equation.

GCF(87132,87146) = 2
LCM(87132,87146) = ( 87132 × 87146) / 2
LCM(87132,87146) = 7593205272 / 2
LCM(87132,87146) = 3796602636

Least Common Multiple (LCM) of 87132 and 87146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87132 and 87146. First we will calculate the prime factors of 87132 and 87146.

Prime Factorization of 87132

Prime Factorization of 87146

Now multiplying the highest exponent prime factors to calculate the LCM of 87132 and 87146.

LCM(87132,87146) = 2² × 3¹ × 53¹ × 137¹ × 43573¹
LCM(87132,87146) = 3796602636