What is the Least Common Multiple of 94000 and 94010?

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 94000 and 94010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94000 and 94010, than apply into the LCM equation.

GCF(94000,94010) = 10
LCM(94000,94010) = ( 94000 × 94010) / 10
LCM(94000,94010) = 8836940000 / 10
LCM(94000,94010) = 883694000

Least Common Multiple (LCM) of 94000 and 94010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94000 and 94010. First we will calculate the prime factors of 94000 and 94010.

Prime Factorization of 94000

Prime Factorization of 94010

Now multiplying the highest exponent prime factors to calculate the LCM of 94000 and 94010.

LCM(94000,94010) = 2⁴ × 5³ × 47¹ × 7¹ × 17¹ × 79¹
LCM(94000,94010) = 883694000