What is the Least Common Multiple of 68600 and 68614?

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 68600 and 68614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68600 and 68614, than apply into the LCM equation.

GCF(68600,68614) = 14
LCM(68600,68614) = ( 68600 × 68614) / 14
LCM(68600,68614) = 4706920400 / 14
LCM(68600,68614) = 336208600

Least Common Multiple (LCM) of 68600 and 68614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68600 and 68614. First we will calculate the prime factors of 68600 and 68614.

Prime Factorization of 68600

Prime Factorization of 68614

Now multiplying the highest exponent prime factors to calculate the LCM of 68600 and 68614.

LCM(68600,68614) = 2³ × 5² × 7³ × 13² × 29¹
LCM(68600,68614) = 336208600