What is the Least Common Multiple of 87229 and 87236?

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 87229 and 87236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87229 and 87236, than apply into the LCM equation.

GCF(87229,87236) = 1
LCM(87229,87236) = ( 87229 × 87236) / 1
LCM(87229,87236) = 7609509044 / 1
LCM(87229,87236) = 7609509044

Least Common Multiple (LCM) of 87229 and 87236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87229 and 87236. First we will calculate the prime factors of 87229 and 87236.

Prime Factorization of 87229

Prime Factorization of 87236

Now multiplying the highest exponent prime factors to calculate the LCM of 87229 and 87236.

LCM(87229,87236) = 19¹ × 4591¹ × 2² × 113¹ × 193¹
LCM(87229,87236) = 7609509044