What is the Least Common Multiple of 79216 and 79222?

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 79216 and 79222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79216 and 79222, than apply into the LCM equation.

GCF(79216,79222) = 2
LCM(79216,79222) = ( 79216 × 79222) / 2
LCM(79216,79222) = 6275649952 / 2
LCM(79216,79222) = 3137824976

Least Common Multiple (LCM) of 79216 and 79222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79216 and 79222. First we will calculate the prime factors of 79216 and 79222.

Prime Factorization of 79216

Prime Factorization of 79222

Now multiplying the highest exponent prime factors to calculate the LCM of 79216 and 79222.

LCM(79216,79222) = 2⁴ × 4951¹ × 11¹ × 13¹ × 277¹
LCM(79216,79222) = 3137824976