What is the Least Common Multiple of 44262 and 44277?

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 44262 and 44277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44262 and 44277, than apply into the LCM equation.

GCF(44262,44277) = 3
LCM(44262,44277) = ( 44262 × 44277) / 3
LCM(44262,44277) = 1959788574 / 3
LCM(44262,44277) = 653262858

Least Common Multiple (LCM) of 44262 and 44277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44262 and 44277. First we will calculate the prime factors of 44262 and 44277.

Prime Factorization of 44262

Prime Factorization of 44277

Now multiplying the highest exponent prime factors to calculate the LCM of 44262 and 44277.

LCM(44262,44277) = 2¹ × 3² × 2459¹ × 14759¹
LCM(44262,44277) = 653262858