What is the Least Common Multiple of 87436 and 87453?

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 87436 and 87453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87436 and 87453, than apply into the LCM equation.

GCF(87436,87453) = 1
LCM(87436,87453) = ( 87436 × 87453) / 1
LCM(87436,87453) = 7646540508 / 1
LCM(87436,87453) = 7646540508

Least Common Multiple (LCM) of 87436 and 87453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87436 and 87453. First we will calculate the prime factors of 87436 and 87453.

Prime Factorization of 87436

Prime Factorization of 87453

Now multiplying the highest exponent prime factors to calculate the LCM of 87436 and 87453.

LCM(87436,87453) = 2² × 21859¹ × 3³ × 41¹ × 79¹
LCM(87436,87453) = 7646540508