What is the Least Common Multiple of 89120 and 89139?

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 89120 and 89139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89120 and 89139, than apply into the LCM equation.

GCF(89120,89139) = 1
LCM(89120,89139) = ( 89120 × 89139) / 1
LCM(89120,89139) = 7944067680 / 1
LCM(89120,89139) = 7944067680

Least Common Multiple (LCM) of 89120 and 89139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89120 and 89139. First we will calculate the prime factors of 89120 and 89139.

Prime Factorization of 89120

Prime Factorization of 89139

Now multiplying the highest exponent prime factors to calculate the LCM of 89120 and 89139.

LCM(89120,89139) = 2⁵ × 5¹ × 557¹ × 3¹ × 43¹ × 691¹
LCM(89120,89139) = 7944067680