What is the Least Common Multiple of 76467 and 76479?

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 76467 and 76479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76467 and 76479, than apply into the LCM equation.

GCF(76467,76479) = 3
LCM(76467,76479) = ( 76467 × 76479) / 3
LCM(76467,76479) = 5848119693 / 3
LCM(76467,76479) = 1949373231

Least Common Multiple (LCM) of 76467 and 76479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76467 and 76479. First we will calculate the prime factors of 76467 and 76479.

Prime Factorization of 76467

Prime Factorization of 76479

Now multiplying the highest exponent prime factors to calculate the LCM of 76467 and 76479.

LCM(76467,76479) = 3¹ × 71¹ × 359¹ × 13¹ × 37¹ × 53¹
LCM(76467,76479) = 1949373231