What is the Least Common Multiple of 70825 and 70836?

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 70825 and 70836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70825 and 70836, than apply into the LCM equation.

GCF(70825,70836) = 1
LCM(70825,70836) = ( 70825 × 70836) / 1
LCM(70825,70836) = 5016959700 / 1
LCM(70825,70836) = 5016959700

Least Common Multiple (LCM) of 70825 and 70836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70825 and 70836. First we will calculate the prime factors of 70825 and 70836.

Prime Factorization of 70825

Prime Factorization of 70836

Now multiplying the highest exponent prime factors to calculate the LCM of 70825 and 70836.

LCM(70825,70836) = 5² × 2833¹ × 2² × 3¹ × 5903¹
LCM(70825,70836) = 5016959700