What is the Least Common Multiple of 94340 and 94345?

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 94340 and 94345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94340 and 94345, than apply into the LCM equation.

GCF(94340,94345) = 5
LCM(94340,94345) = ( 94340 × 94345) / 5
LCM(94340,94345) = 8900507300 / 5
LCM(94340,94345) = 1780101460

Least Common Multiple (LCM) of 94340 and 94345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94340 and 94345. First we will calculate the prime factors of 94340 and 94345.

Prime Factorization of 94340

Prime Factorization of 94345

Now multiplying the highest exponent prime factors to calculate the LCM of 94340 and 94345.

LCM(94340,94345) = 2² × 5¹ × 53¹ × 89¹ × 18869¹
LCM(94340,94345) = 1780101460