What is the Least Common Multiple of 71628 and 71641?

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 71628 and 71641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71628 and 71641, than apply into the LCM equation.

GCF(71628,71641) = 1
LCM(71628,71641) = ( 71628 × 71641) / 1
LCM(71628,71641) = 5131501548 / 1
LCM(71628,71641) = 5131501548

Least Common Multiple (LCM) of 71628 and 71641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71628 and 71641. First we will calculate the prime factors of 71628 and 71641.

Prime Factorization of 71628

Prime Factorization of 71641

Now multiplying the highest exponent prime factors to calculate the LCM of 71628 and 71641.

LCM(71628,71641) = 2² × 3¹ × 47¹ × 127¹ × 31¹ × 2311¹
LCM(71628,71641) = 5131501548