What is the Least Common Multiple of 77568 and 77580?

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 77568 and 77580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77568 and 77580, than apply into the LCM equation.

GCF(77568,77580) = 12
LCM(77568,77580) = ( 77568 × 77580) / 12
LCM(77568,77580) = 6017725440 / 12
LCM(77568,77580) = 501477120

Least Common Multiple (LCM) of 77568 and 77580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77568 and 77580. First we will calculate the prime factors of 77568 and 77580.

Prime Factorization of 77568

Prime Factorization of 77580

Now multiplying the highest exponent prime factors to calculate the LCM of 77568 and 77580.

LCM(77568,77580) = 2⁸ × 3² × 101¹ × 5¹ × 431¹
LCM(77568,77580) = 501477120