What is the Least Common Multiple of 83465 and 83479?

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 83465 and 83479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83465 and 83479, than apply into the LCM equation.

GCF(83465,83479) = 1
LCM(83465,83479) = ( 83465 × 83479) / 1
LCM(83465,83479) = 6967574735 / 1
LCM(83465,83479) = 6967574735

Least Common Multiple (LCM) of 83465 and 83479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83465 and 83479. First we will calculate the prime factors of 83465 and 83479.

Prime Factorization of 83465

Prime Factorization of 83479

Now multiplying the highest exponent prime factors to calculate the LCM of 83465 and 83479.

LCM(83465,83479) = 5¹ × 16693¹ × 11¹ × 7589¹
LCM(83465,83479) = 6967574735