What is the Least Common Multiple of 71643 and 71657?

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 71643 and 71657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71643 and 71657, than apply into the LCM equation.

GCF(71643,71657) = 1
LCM(71643,71657) = ( 71643 × 71657) / 1
LCM(71643,71657) = 5133722451 / 1
LCM(71643,71657) = 5133722451

Least Common Multiple (LCM) of 71643 and 71657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71643 and 71657. First we will calculate the prime factors of 71643 and 71657.

Prime Factorization of 71643

Prime Factorization of 71657

Now multiplying the highest exponent prime factors to calculate the LCM of 71643 and 71657.

LCM(71643,71657) = 3¹ × 11¹ × 13¹ × 167¹ × 131¹ × 547¹
LCM(71643,71657) = 5133722451