What is the Least Common Multiple of 77683 and 77694?

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 77683 and 77694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77683 and 77694, than apply into the LCM equation.

GCF(77683,77694) = 1
LCM(77683,77694) = ( 77683 × 77694) / 1
LCM(77683,77694) = 6035503002 / 1
LCM(77683,77694) = 6035503002

Least Common Multiple (LCM) of 77683 and 77694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77683 and 77694. First we will calculate the prime factors of 77683 and 77694.

Prime Factorization of 77683

Prime Factorization of 77694

Now multiplying the highest exponent prime factors to calculate the LCM of 77683 and 77694.

LCM(77683,77694) = 131¹ × 593¹ × 2¹ × 3¹ × 23¹ × 563¹
LCM(77683,77694) = 6035503002