What is the Least Common Multiple of 87971 and 87989?

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 87971 and 87989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87971 and 87989, than apply into the LCM equation.

GCF(87971,87989) = 1
LCM(87971,87989) = ( 87971 × 87989) / 1
LCM(87971,87989) = 7740480319 / 1
LCM(87971,87989) = 7740480319

Least Common Multiple (LCM) of 87971 and 87989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87971 and 87989. First we will calculate the prime factors of 87971 and 87989.

Prime Factorization of 87971

Prime Factorization of 87989

Now multiplying the highest exponent prime factors to calculate the LCM of 87971 and 87989.

LCM(87971,87989) = 13¹ × 67¹ × 101¹ × 11¹ × 19¹ × 421¹
LCM(87971,87989) = 7740480319