What is the Least Common Multiple of 94850 and 94870?

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 94850 and 94870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94850 and 94870, than apply into the LCM equation.

GCF(94850,94870) = 10
LCM(94850,94870) = ( 94850 × 94870) / 10
LCM(94850,94870) = 8998419500 / 10
LCM(94850,94870) = 899841950

Least Common Multiple (LCM) of 94850 and 94870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94850 and 94870. First we will calculate the prime factors of 94850 and 94870.

Prime Factorization of 94850

Prime Factorization of 94870

Now multiplying the highest exponent prime factors to calculate the LCM of 94850 and 94870.

LCM(94850,94870) = 2¹ × 5² × 7¹ × 271¹ × 53¹ × 179¹
LCM(94850,94870) = 899841950