What is the Least Common Multiple of 70656 and 70668?

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 70656 and 70668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70656 and 70668, than apply into the LCM equation.

GCF(70656,70668) = 12
LCM(70656,70668) = ( 70656 × 70668) / 12
LCM(70656,70668) = 4993118208 / 12
LCM(70656,70668) = 416093184

Least Common Multiple (LCM) of 70656 and 70668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70656 and 70668. First we will calculate the prime factors of 70656 and 70668.

Prime Factorization of 70656

Prime Factorization of 70668

Now multiplying the highest exponent prime factors to calculate the LCM of 70656 and 70668.

LCM(70656,70668) = 2¹⁰ × 3² × 23¹ × 13¹ × 151¹
LCM(70656,70668) = 416093184