What is the Least Common Multiple of 71654 and 71673?

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 71654 and 71673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71654 and 71673, than apply into the LCM equation.

GCF(71654,71673) = 1
LCM(71654,71673) = ( 71654 × 71673) / 1
LCM(71654,71673) = 5135657142 / 1
LCM(71654,71673) = 5135657142

Least Common Multiple (LCM) of 71654 and 71673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71654 and 71673. First we will calculate the prime factors of 71654 and 71673.

Prime Factorization of 71654

Prime Factorization of 71673

Now multiplying the highest exponent prime factors to calculate the LCM of 71654 and 71673.

LCM(71654,71673) = 2¹ × 11¹ × 3257¹ × 3¹ × 7¹ × 3413¹
LCM(71654,71673) = 5135657142