What is the Least Common Multiple of 68708 and 68720?

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 68708 and 68720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68708 and 68720, than apply into the LCM equation.

GCF(68708,68720) = 4
LCM(68708,68720) = ( 68708 × 68720) / 4
LCM(68708,68720) = 4721613760 / 4
LCM(68708,68720) = 1180403440

Least Common Multiple (LCM) of 68708 and 68720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68708 and 68720. First we will calculate the prime factors of 68708 and 68720.

Prime Factorization of 68708

Prime Factorization of 68720

Now multiplying the highest exponent prime factors to calculate the LCM of 68708 and 68720.

LCM(68708,68720) = 2⁴ × 89¹ × 193¹ × 5¹ × 859¹
LCM(68708,68720) = 1180403440