What is the Least Common Multiple of 72208 and 72228?

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 72208 and 72228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72208 and 72228, than apply into the LCM equation.

GCF(72208,72228) = 4
LCM(72208,72228) = ( 72208 × 72228) / 4
LCM(72208,72228) = 5215439424 / 4
LCM(72208,72228) = 1303859856

Least Common Multiple (LCM) of 72208 and 72228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72208 and 72228. First we will calculate the prime factors of 72208 and 72228.

Prime Factorization of 72208

Prime Factorization of 72228

Now multiplying the highest exponent prime factors to calculate the LCM of 72208 and 72228.

LCM(72208,72228) = 2⁴ × 4513¹ × 3¹ × 13¹ × 463¹
LCM(72208,72228) = 1303859856