What is the Least Common Multiple of 87138 and 87149?

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 87138 and 87149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87138 and 87149, than apply into the LCM equation.

GCF(87138,87149) = 1
LCM(87138,87149) = ( 87138 × 87149) / 1
LCM(87138,87149) = 7593989562 / 1
LCM(87138,87149) = 7593989562

Least Common Multiple (LCM) of 87138 and 87149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87138 and 87149. First we will calculate the prime factors of 87138 and 87149.

Prime Factorization of 87138

Prime Factorization of 87149

Now multiplying the highest exponent prime factors to calculate the LCM of 87138 and 87149.

LCM(87138,87149) = 2¹ × 3² × 47¹ × 103¹ × 87149¹
LCM(87138,87149) = 7593989562