What is the Least Common Multiple of 77519 and 77524?

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 77519 and 77524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77519 and 77524, than apply into the LCM equation.

GCF(77519,77524) = 1
LCM(77519,77524) = ( 77519 × 77524) / 1
LCM(77519,77524) = 6009582956 / 1
LCM(77519,77524) = 6009582956

Least Common Multiple (LCM) of 77519 and 77524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77519 and 77524. First we will calculate the prime factors of 77519 and 77524.

Prime Factorization of 77519

Prime Factorization of 77524

Now multiplying the highest exponent prime factors to calculate the LCM of 77519 and 77524.

LCM(77519,77524) = 13¹ × 67¹ × 89¹ × 2² × 19381¹
LCM(77519,77524) = 6009582956