What is the Least Common Multiple of 70890 and 70909?

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 70909 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 70909, than apply into the LCM equation.

GCF(70890,70909) = 1
LCM(70890,70909) = ( 70890 × 70909) / 1
LCM(70890,70909) = 5026739010 / 1
LCM(70890,70909) = 5026739010

Least Common Multiple (LCM) of 70890 and 70909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70890 and 70909. First we will calculate the prime factors of 70890 and 70909.

Prime Factorization of 70890

Prime Factorization of 70909

Now multiplying the highest exponent prime factors to calculate the LCM of 70890 and 70909.

LCM(70890,70909) = 2¹ × 3¹ × 5¹ × 17¹ × 139¹ × 23¹ × 3083¹
LCM(70890,70909) = 5026739010