What is the Least Common Multiple of 77502 and 77519?

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 77502 and 77519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77502 and 77519, than apply into the LCM equation.

GCF(77502,77519) = 1
LCM(77502,77519) = ( 77502 × 77519) / 1
LCM(77502,77519) = 6007877538 / 1
LCM(77502,77519) = 6007877538

Least Common Multiple (LCM) of 77502 and 77519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77502 and 77519. First we will calculate the prime factors of 77502 and 77519.

Prime Factorization of 77502

Prime Factorization of 77519

Now multiplying the highest exponent prime factors to calculate the LCM of 77502 and 77519.

LCM(77502,77519) = 2¹ × 3¹ × 12917¹ × 13¹ × 67¹ × 89¹
LCM(77502,77519) = 6007877538