What is the Least Common Multiple of 76900 and 76918?

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 76900 and 76918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76900 and 76918, than apply into the LCM equation.

GCF(76900,76918) = 2
LCM(76900,76918) = ( 76900 × 76918) / 2
LCM(76900,76918) = 5914994200 / 2
LCM(76900,76918) = 2957497100

Least Common Multiple (LCM) of 76900 and 76918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76900 and 76918. First we will calculate the prime factors of 76900 and 76918.

Prime Factorization of 76900

Prime Factorization of 76918

Now multiplying the highest exponent prime factors to calculate the LCM of 76900 and 76918.

LCM(76900,76918) = 2² × 5² × 769¹ × 38459¹
LCM(76900,76918) = 2957497100