What is the Least Common Multiple of 89142 and 89149?

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 89142 and 89149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89142 and 89149, than apply into the LCM equation.

GCF(89142,89149) = 1
LCM(89142,89149) = ( 89142 × 89149) / 1
LCM(89142,89149) = 7946920158 / 1
LCM(89142,89149) = 7946920158

Least Common Multiple (LCM) of 89142 and 89149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89142 and 89149. First we will calculate the prime factors of 89142 and 89149.

Prime Factorization of 89142

Prime Factorization of 89149

Now multiplying the highest exponent prime factors to calculate the LCM of 89142 and 89149.

LCM(89142,89149) = 2¹ × 3¹ × 83¹ × 179¹ × 59¹ × 1511¹
LCM(89142,89149) = 7946920158