What is the Least Common Multiple of 76330 and 76345?

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 76330 and 76345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76330 and 76345, than apply into the LCM equation.

GCF(76330,76345) = 5
LCM(76330,76345) = ( 76330 × 76345) / 5
LCM(76330,76345) = 5827413850 / 5
LCM(76330,76345) = 1165482770

Least Common Multiple (LCM) of 76330 and 76345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76330 and 76345. First we will calculate the prime factors of 76330 and 76345.

Prime Factorization of 76330

Prime Factorization of 76345

Now multiplying the highest exponent prime factors to calculate the LCM of 76330 and 76345.

LCM(76330,76345) = 2¹ × 5¹ × 17¹ × 449¹ × 15269¹
LCM(76330,76345) = 1165482770