What is the Least Common Multiple of 84123 and 84137?

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 84123 and 84137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84123 and 84137, than apply into the LCM equation.

GCF(84123,84137) = 1
LCM(84123,84137) = ( 84123 × 84137) / 1
LCM(84123,84137) = 7077856851 / 1
LCM(84123,84137) = 7077856851

Least Common Multiple (LCM) of 84123 and 84137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84123 and 84137. First we will calculate the prime factors of 84123 and 84137.

Prime Factorization of 84123

Prime Factorization of 84137

Now multiplying the highest exponent prime factors to calculate the LCM of 84123 and 84137.

LCM(84123,84137) = 3² × 13¹ × 719¹ × 84137¹
LCM(84123,84137) = 7077856851