What is the Least Common Multiple of 94010 and 94014?

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 94010 and 94014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94010 and 94014, than apply into the LCM equation.

GCF(94010,94014) = 2
LCM(94010,94014) = ( 94010 × 94014) / 2
LCM(94010,94014) = 8838256140 / 2
LCM(94010,94014) = 4419128070

Least Common Multiple (LCM) of 94010 and 94014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94010 and 94014. First we will calculate the prime factors of 94010 and 94014.

Prime Factorization of 94010

Prime Factorization of 94014

Now multiplying the highest exponent prime factors to calculate the LCM of 94010 and 94014.

LCM(94010,94014) = 2¹ × 5¹ × 7¹ × 17¹ × 79¹ × 3³ × 1741¹
LCM(94010,94014) = 4419128070