What is the Least Common Multiple of 76869 and 76877?

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 76869 and 76877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76869 and 76877, than apply into the LCM equation.

GCF(76869,76877) = 1
LCM(76869,76877) = ( 76869 × 76877) / 1
LCM(76869,76877) = 5909458113 / 1
LCM(76869,76877) = 5909458113

Least Common Multiple (LCM) of 76869 and 76877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76869 and 76877. First we will calculate the prime factors of 76869 and 76877.

Prime Factorization of 76869

Prime Factorization of 76877

Now multiplying the highest exponent prime factors to calculate the LCM of 76869 and 76877.

LCM(76869,76877) = 3⁴ × 13¹ × 73¹ × 59¹ × 1303¹
LCM(76869,76877) = 5909458113