What is the Least Common Multiple of 76838 and 76853?

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 76838 and 76853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76838 and 76853, than apply into the LCM equation.

GCF(76838,76853) = 1
LCM(76838,76853) = ( 76838 × 76853) / 1
LCM(76838,76853) = 5905230814 / 1
LCM(76838,76853) = 5905230814

Least Common Multiple (LCM) of 76838 and 76853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76838 and 76853. First we will calculate the prime factors of 76838 and 76853.

Prime Factorization of 76838

Prime Factorization of 76853

Now multiplying the highest exponent prime factors to calculate the LCM of 76838 and 76853.

LCM(76838,76853) = 2¹ × 103¹ × 373¹ × 7¹ × 10979¹
LCM(76838,76853) = 5905230814