What is the Least Common Multiple of 89138 and 89143?

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 89138 and 89143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89138 and 89143, than apply into the LCM equation.

GCF(89138,89143) = 1
LCM(89138,89143) = ( 89138 × 89143) / 1
LCM(89138,89143) = 7946028734 / 1
LCM(89138,89143) = 7946028734

Least Common Multiple (LCM) of 89138 and 89143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89138 and 89143. First we will calculate the prime factors of 89138 and 89143.

Prime Factorization of 89138

Prime Factorization of 89143

Now multiplying the highest exponent prime factors to calculate the LCM of 89138 and 89143.

LCM(89138,89143) = 2¹ × 7¹ × 6367¹ × 97¹ × 919¹
LCM(89138,89143) = 7946028734