What is the Least Common Multiple of 62643 and 62657?

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 62643 and 62657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62643 and 62657, than apply into the LCM equation.

GCF(62643,62657) = 7
LCM(62643,62657) = ( 62643 × 62657) / 7
LCM(62643,62657) = 3925022451 / 7
LCM(62643,62657) = 560717493

Least Common Multiple (LCM) of 62643 and 62657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62643 and 62657. First we will calculate the prime factors of 62643 and 62657.

Prime Factorization of 62643

Prime Factorization of 62657

Now multiplying the highest exponent prime factors to calculate the LCM of 62643 and 62657.

LCM(62643,62657) = 3¹ × 7¹ × 19¹ × 157¹ × 8951¹
LCM(62643,62657) = 560717493