What is the Least Common Multiple of 76669 and 76677?

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 76669 and 76677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76669 and 76677, than apply into the LCM equation.

GCF(76669,76677) = 1
LCM(76669,76677) = ( 76669 × 76677) / 1
LCM(76669,76677) = 5878748913 / 1
LCM(76669,76677) = 5878748913

Least Common Multiple (LCM) of 76669 and 76677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76669 and 76677. First we will calculate the prime factors of 76669 and 76677.

Prime Factorization of 76669

Prime Factorization of 76677

Now multiplying the highest exponent prime factors to calculate the LCM of 76669 and 76677.

LCM(76669,76677) = 43¹ × 1783¹ × 3¹ × 61¹ × 419¹
LCM(76669,76677) = 5878748913