What is the Least Common Multiple of 44658 and 44677?

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 44658 and 44677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44658 and 44677, than apply into the LCM equation.

GCF(44658,44677) = 1
LCM(44658,44677) = ( 44658 × 44677) / 1
LCM(44658,44677) = 1995185466 / 1
LCM(44658,44677) = 1995185466

Least Common Multiple (LCM) of 44658 and 44677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44658 and 44677. First we will calculate the prime factors of 44658 and 44677.

Prime Factorization of 44658

Prime Factorization of 44677

Now multiplying the highest exponent prime factors to calculate the LCM of 44658 and 44677.

LCM(44658,44677) = 2¹ × 3³ × 827¹ × 43¹ × 1039¹
LCM(44658,44677) = 1995185466