What is the Least Common Multiple of 68614 and 68620?

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 68614 and 68620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68614 and 68620, than apply into the LCM equation.

GCF(68614,68620) = 2
LCM(68614,68620) = ( 68614 × 68620) / 2
LCM(68614,68620) = 4708292680 / 2
LCM(68614,68620) = 2354146340

Least Common Multiple (LCM) of 68614 and 68620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68614 and 68620. First we will calculate the prime factors of 68614 and 68620.

Prime Factorization of 68614

Prime Factorization of 68620

Now multiplying the highest exponent prime factors to calculate the LCM of 68614 and 68620.

LCM(68614,68620) = 2² × 7¹ × 13² × 29¹ × 5¹ × 47¹ × 73¹
LCM(68614,68620) = 2354146340