What is the Least Common Multiple of 87421 and 87436?

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 87421 and 87436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87421 and 87436, than apply into the LCM equation.

GCF(87421,87436) = 1
LCM(87421,87436) = ( 87421 × 87436) / 1
LCM(87421,87436) = 7643742556 / 1
LCM(87421,87436) = 7643742556

Least Common Multiple (LCM) of 87421 and 87436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87421 and 87436. First we will calculate the prime factors of 87421 and 87436.

Prime Factorization of 87421

Prime Factorization of 87436

Now multiplying the highest exponent prime factors to calculate the LCM of 87421 and 87436.

LCM(87421,87436) = 87421¹ × 2² × 21859¹
LCM(87421,87436) = 7643742556