What is the Least Common Multiple of 78272 and 78280?

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 78272 and 78280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78272 and 78280, than apply into the LCM equation.

GCF(78272,78280) = 8
LCM(78272,78280) = ( 78272 × 78280) / 8
LCM(78272,78280) = 6127132160 / 8
LCM(78272,78280) = 765891520

Least Common Multiple (LCM) of 78272 and 78280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78272 and 78280. First we will calculate the prime factors of 78272 and 78280.

Prime Factorization of 78272

Prime Factorization of 78280

Now multiplying the highest exponent prime factors to calculate the LCM of 78272 and 78280.

LCM(78272,78280) = 2⁶ × 1223¹ × 5¹ × 19¹ × 103¹
LCM(78272,78280) = 765891520