What is the Least Common Multiple of 70656 and 70670?

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 70670 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 70670, than apply into the LCM equation.

GCF(70656,70670) = 2
LCM(70656,70670) = ( 70656 × 70670) / 2
LCM(70656,70670) = 4993259520 / 2
LCM(70656,70670) = 2496629760

Least Common Multiple (LCM) of 70656 and 70670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70656 and 70670. First we will calculate the prime factors of 70656 and 70670.

Prime Factorization of 70656

Prime Factorization of 70670

Now multiplying the highest exponent prime factors to calculate the LCM of 70656 and 70670.

LCM(70656,70670) = 2¹⁰ × 3¹ × 23¹ × 5¹ × 37¹ × 191¹
LCM(70656,70670) = 2496629760