What is the Least Common Multiple of 70890 and 70895?

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 70890 and 70895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70890 and 70895, than apply into the LCM equation.

GCF(70890,70895) = 5
LCM(70890,70895) = ( 70890 × 70895) / 5
LCM(70890,70895) = 5025746550 / 5
LCM(70890,70895) = 1005149310

Least Common Multiple (LCM) of 70890 and 70895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70890 and 70895. First we will calculate the prime factors of 70890 and 70895.

Prime Factorization of 70890

Prime Factorization of 70895

Now multiplying the highest exponent prime factors to calculate the LCM of 70890 and 70895.

LCM(70890,70895) = 2¹ × 3¹ × 5¹ × 17¹ × 139¹ × 11¹ × 1289¹
LCM(70890,70895) = 1005149310