What is the Least Common Multiple of 72204 and 72208?

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 72204 and 72208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72204 and 72208, than apply into the LCM equation.

GCF(72204,72208) = 4
LCM(72204,72208) = ( 72204 × 72208) / 4
LCM(72204,72208) = 5213706432 / 4
LCM(72204,72208) = 1303426608

Least Common Multiple (LCM) of 72204 and 72208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72204 and 72208. First we will calculate the prime factors of 72204 and 72208.

Prime Factorization of 72204

Prime Factorization of 72208

Now multiplying the highest exponent prime factors to calculate the LCM of 72204 and 72208.

LCM(72204,72208) = 2⁴ × 3¹ × 11¹ × 547¹ × 4513¹
LCM(72204,72208) = 1303426608