What is the Least Common Multiple of 68414 and 68420?

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 68414 and 68420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68414 and 68420, than apply into the LCM equation.

GCF(68414,68420) = 2
LCM(68414,68420) = ( 68414 × 68420) / 2
LCM(68414,68420) = 4680885880 / 2
LCM(68414,68420) = 2340442940

Least Common Multiple (LCM) of 68414 and 68420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68414 and 68420. First we will calculate the prime factors of 68414 and 68420.

Prime Factorization of 68414

Prime Factorization of 68420

Now multiplying the highest exponent prime factors to calculate the LCM of 68414 and 68420.

LCM(68414,68420) = 2² × 79¹ × 433¹ × 5¹ × 11¹ × 311¹
LCM(68414,68420) = 2340442940