What is the Least Common Multiple of 70836 and 70856?

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 70836 and 70856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70836 and 70856, than apply into the LCM equation.

GCF(70836,70856) = 4
LCM(70836,70856) = ( 70836 × 70856) / 4
LCM(70836,70856) = 5019155616 / 4
LCM(70836,70856) = 1254788904

Least Common Multiple (LCM) of 70836 and 70856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70836 and 70856. First we will calculate the prime factors of 70836 and 70856.

Prime Factorization of 70836

Prime Factorization of 70856

Now multiplying the highest exponent prime factors to calculate the LCM of 70836 and 70856.

LCM(70836,70856) = 2³ × 3¹ × 5903¹ × 17¹ × 521¹
LCM(70836,70856) = 1254788904