What is the Least Common Multiple of 76430 and 76450?

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 76430 and 76450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76430 and 76450, than apply into the LCM equation.

GCF(76430,76450) = 10
LCM(76430,76450) = ( 76430 × 76450) / 10
LCM(76430,76450) = 5843073500 / 10
LCM(76430,76450) = 584307350

Least Common Multiple (LCM) of 76430 and 76450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76430 and 76450. First we will calculate the prime factors of 76430 and 76450.

Prime Factorization of 76430

Prime Factorization of 76450

Now multiplying the highest exponent prime factors to calculate the LCM of 76430 and 76450.

LCM(76430,76450) = 2¹ × 5² × 7643¹ × 11¹ × 139¹
LCM(76430,76450) = 584307350