What is the Least Common Multiple of 77228 and 77248?

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 77228 and 77248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77228 and 77248, than apply into the LCM equation.

GCF(77228,77248) = 4
LCM(77228,77248) = ( 77228 × 77248) / 4
LCM(77228,77248) = 5965708544 / 4
LCM(77228,77248) = 1491427136

Least Common Multiple (LCM) of 77228 and 77248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77228 and 77248. First we will calculate the prime factors of 77228 and 77248.

Prime Factorization of 77228

Prime Factorization of 77248

Now multiplying the highest exponent prime factors to calculate the LCM of 77228 and 77248.

LCM(77228,77248) = 2⁶ × 43¹ × 449¹ × 17¹ × 71¹
LCM(77228,77248) = 1491427136