What is the Least Common Multiple of 76415 and 76430?

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 76415 and 76430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76415 and 76430, than apply into the LCM equation.

GCF(76415,76430) = 5
LCM(76415,76430) = ( 76415 × 76430) / 5
LCM(76415,76430) = 5840398450 / 5
LCM(76415,76430) = 1168079690

Least Common Multiple (LCM) of 76415 and 76430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76415 and 76430. First we will calculate the prime factors of 76415 and 76430.

Prime Factorization of 76415

Prime Factorization of 76430

Now multiplying the highest exponent prime factors to calculate the LCM of 76415 and 76430.

LCM(76415,76430) = 5¹ × 17¹ × 29¹ × 31¹ × 2¹ × 7643¹
LCM(76415,76430) = 1168079690