What is the Least Common Multiple of 77562 and 77566?

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 77562 and 77566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77562 and 77566, than apply into the LCM equation.

GCF(77562,77566) = 2
LCM(77562,77566) = ( 77562 × 77566) / 2
LCM(77562,77566) = 6016174092 / 2
LCM(77562,77566) = 3008087046

Least Common Multiple (LCM) of 77562 and 77566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77562 and 77566. First we will calculate the prime factors of 77562 and 77566.

Prime Factorization of 77562

Prime Factorization of 77566

Now multiplying the highest exponent prime factors to calculate the LCM of 77562 and 77566.

LCM(77562,77566) = 2¹ × 3² × 31¹ × 139¹ × 38783¹
LCM(77562,77566) = 3008087046