What is the Least Common Multiple of 94003 and 94012?

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 94003 and 94012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94003 and 94012, than apply into the LCM equation.

GCF(94003,94012) = 1
LCM(94003,94012) = ( 94003 × 94012) / 1
LCM(94003,94012) = 8837410036 / 1
LCM(94003,94012) = 8837410036

Least Common Multiple (LCM) of 94003 and 94012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94003 and 94012. First we will calculate the prime factors of 94003 and 94012.

Prime Factorization of 94003

Prime Factorization of 94012

Now multiplying the highest exponent prime factors to calculate the LCM of 94003 and 94012.

LCM(94003,94012) = 7¹ × 13¹ × 1033¹ × 2² × 19¹ × 1237¹
LCM(94003,94012) = 8837410036