What is the Least Common Multiple of 78406 and 78420?

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 78406 and 78420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78406 and 78420, than apply into the LCM equation.

GCF(78406,78420) = 2
LCM(78406,78420) = ( 78406 × 78420) / 2
LCM(78406,78420) = 6148598520 / 2
LCM(78406,78420) = 3074299260

Least Common Multiple (LCM) of 78406 and 78420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78406 and 78420. First we will calculate the prime factors of 78406 and 78420.

Prime Factorization of 78406

Prime Factorization of 78420

Now multiplying the highest exponent prime factors to calculate the LCM of 78406 and 78420.

LCM(78406,78420) = 2² × 197¹ × 199¹ × 3¹ × 5¹ × 1307¹
LCM(78406,78420) = 3074299260