What is the Least Common Multiple of 83444 and 83462?

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 83444 and 83462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83444 and 83462, than apply into the LCM equation.

GCF(83444,83462) = 2
LCM(83444,83462) = ( 83444 × 83462) / 2
LCM(83444,83462) = 6964403128 / 2
LCM(83444,83462) = 3482201564

Least Common Multiple (LCM) of 83444 and 83462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83444 and 83462. First we will calculate the prime factors of 83444 and 83462.

Prime Factorization of 83444

Prime Factorization of 83462

Now multiplying the highest exponent prime factors to calculate the LCM of 83444 and 83462.

LCM(83444,83462) = 2² × 23¹ × 907¹ × 29¹ × 1439¹
LCM(83444,83462) = 3482201564