What is the Least Common Multiple of 76100 and 76120?

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 76100 and 76120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76100 and 76120, than apply into the LCM equation.

GCF(76100,76120) = 20
LCM(76100,76120) = ( 76100 × 76120) / 20
LCM(76100,76120) = 5792732000 / 20
LCM(76100,76120) = 289636600

Least Common Multiple (LCM) of 76100 and 76120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76100 and 76120. First we will calculate the prime factors of 76100 and 76120.

Prime Factorization of 76100

Prime Factorization of 76120

Now multiplying the highest exponent prime factors to calculate the LCM of 76100 and 76120.

LCM(76100,76120) = 2³ × 5² × 761¹ × 11¹ × 173¹
LCM(76100,76120) = 289636600