What is the Least Common Multiple of 91469 and 91483?

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 91469 and 91483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91469 and 91483, than apply into the LCM equation.

GCF(91469,91483) = 7
LCM(91469,91483) = ( 91469 × 91483) / 7
LCM(91469,91483) = 8367858527 / 7
LCM(91469,91483) = 1195408361

Least Common Multiple (LCM) of 91469 and 91483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91469 and 91483. First we will calculate the prime factors of 91469 and 91483.

Prime Factorization of 91469

Prime Factorization of 91483

Now multiplying the highest exponent prime factors to calculate the LCM of 91469 and 91483.

LCM(91469,91483) = 7² × 73¹ × 179¹ × 1867¹
LCM(91469,91483) = 1195408361