What is the Least Common Multiple of 68656 and 68670?

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 68656 and 68670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68656 and 68670, than apply into the LCM equation.

GCF(68656,68670) = 14
LCM(68656,68670) = ( 68656 × 68670) / 14
LCM(68656,68670) = 4714607520 / 14
LCM(68656,68670) = 336757680

Least Common Multiple (LCM) of 68656 and 68670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68656 and 68670. First we will calculate the prime factors of 68656 and 68670.

Prime Factorization of 68656

Prime Factorization of 68670

Now multiplying the highest exponent prime factors to calculate the LCM of 68656 and 68670.

LCM(68656,68670) = 2⁴ × 7¹ × 613¹ × 3² × 5¹ × 109¹
LCM(68656,68670) = 336757680