What is the Least Common Multiple of 44658 and 44671?

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 44671 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 44671, than apply into the LCM equation.

GCF(44658,44671) = 1
LCM(44658,44671) = ( 44658 × 44671) / 1
LCM(44658,44671) = 1994917518 / 1
LCM(44658,44671) = 1994917518

Least Common Multiple (LCM) of 44658 and 44671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44658 and 44671. First we will calculate the prime factors of 44658 and 44671.

Prime Factorization of 44658

Prime Factorization of 44671

Now multiplying the highest exponent prime factors to calculate the LCM of 44658 and 44671.

LCM(44658,44671) = 2¹ × 3³ × 827¹ × 11¹ × 31¹ × 131¹
LCM(44658,44671) = 1994917518