What is the Least Common Multiple of 70971 and 70981?

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 70971 and 70981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70971 and 70981, than apply into the LCM equation.

GCF(70971,70981) = 1
LCM(70971,70981) = ( 70971 × 70981) / 1
LCM(70971,70981) = 5037592551 / 1
LCM(70971,70981) = 5037592551

Least Common Multiple (LCM) of 70971 and 70981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70971 and 70981. First we will calculate the prime factors of 70971 and 70981.

Prime Factorization of 70971

Prime Factorization of 70981

Now multiplying the highest exponent prime factors to calculate the LCM of 70971 and 70981.

LCM(70971,70981) = 3¹ × 41¹ × 577¹ × 70981¹
LCM(70971,70981) = 5037592551