What is the Least Common Multiple of 70809 and 70824?

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 70809 and 70824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70809 and 70824, than apply into the LCM equation.

GCF(70809,70824) = 3
LCM(70809,70824) = ( 70809 × 70824) / 3
LCM(70809,70824) = 5014976616 / 3
LCM(70809,70824) = 1671658872

Least Common Multiple (LCM) of 70809 and 70824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70809 and 70824. First we will calculate the prime factors of 70809 and 70824.

Prime Factorization of 70809

Prime Factorization of 70824

Now multiplying the highest exponent prime factors to calculate the LCM of 70809 and 70824.

LCM(70809,70824) = 3¹ × 23603¹ × 2³ × 13¹ × 227¹
LCM(70809,70824) = 1671658872