What is the Least Common Multiple of 77693 and 77711?

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 77693 and 77711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77693 and 77711, than apply into the LCM equation.

GCF(77693,77711) = 1
LCM(77693,77711) = ( 77693 × 77711) / 1
LCM(77693,77711) = 6037600723 / 1
LCM(77693,77711) = 6037600723

Least Common Multiple (LCM) of 77693 and 77711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77693 and 77711. First we will calculate the prime factors of 77693 and 77711.

Prime Factorization of 77693

Prime Factorization of 77711

Now multiplying the highest exponent prime factors to calculate the LCM of 77693 and 77711.

LCM(77693,77711) = 7¹ × 11¹ × 1009¹ × 77711¹
LCM(77693,77711) = 6037600723