What is the Least Common Multiple of 87236 and 87247?

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 87236 and 87247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87236 and 87247, than apply into the LCM equation.

GCF(87236,87247) = 1
LCM(87236,87247) = ( 87236 × 87247) / 1
LCM(87236,87247) = 7611079292 / 1
LCM(87236,87247) = 7611079292

Least Common Multiple (LCM) of 87236 and 87247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87236 and 87247. First we will calculate the prime factors of 87236 and 87247.

Prime Factorization of 87236

Prime Factorization of 87247

Now multiplying the highest exponent prime factors to calculate the LCM of 87236 and 87247.

LCM(87236,87247) = 2² × 113¹ × 193¹ × 43¹ × 2029¹
LCM(87236,87247) = 7611079292