What is the Least Common Multiple of 70668 and 70681?

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 70668 and 70681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70668 and 70681, than apply into the LCM equation.

GCF(70668,70681) = 13
LCM(70668,70681) = ( 70668 × 70681) / 13
LCM(70668,70681) = 4994884908 / 13
LCM(70668,70681) = 384221916

Least Common Multiple (LCM) of 70668 and 70681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70668 and 70681. First we will calculate the prime factors of 70668 and 70681.

Prime Factorization of 70668

Prime Factorization of 70681

Now multiplying the highest exponent prime factors to calculate the LCM of 70668 and 70681.

LCM(70668,70681) = 2² × 3² × 13¹ × 151¹ × 5437¹
LCM(70668,70681) = 384221916