What is the Least Common Multiple of 94600 and 94615?

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 94600 and 94615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94600 and 94615, than apply into the LCM equation.

GCF(94600,94615) = 5
LCM(94600,94615) = ( 94600 × 94615) / 5
LCM(94600,94615) = 8950579000 / 5
LCM(94600,94615) = 1790115800

Least Common Multiple (LCM) of 94600 and 94615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94600 and 94615. First we will calculate the prime factors of 94600 and 94615.

Prime Factorization of 94600

Prime Factorization of 94615

Now multiplying the highest exponent prime factors to calculate the LCM of 94600 and 94615.

LCM(94600,94615) = 2³ × 5² × 11¹ × 43¹ × 127¹ × 149¹
LCM(94600,94615) = 1790115800