What is the Least Common Multiple of 70856 and 70863?

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 70856 and 70863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70856 and 70863, than apply into the LCM equation.

GCF(70856,70863) = 1
LCM(70856,70863) = ( 70856 × 70863) / 1
LCM(70856,70863) = 5021068728 / 1
LCM(70856,70863) = 5021068728

Least Common Multiple (LCM) of 70856 and 70863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70856 and 70863. First we will calculate the prime factors of 70856 and 70863.

Prime Factorization of 70856

Prime Factorization of 70863

Now multiplying the highest exponent prime factors to calculate the LCM of 70856 and 70863.

LCM(70856,70863) = 2³ × 17¹ × 521¹ × 3¹ × 13¹ × 23¹ × 79¹
LCM(70856,70863) = 5021068728