What is the Least Common Multiple of 63547 and 63551?

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 63547 and 63551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63547 and 63551, than apply into the LCM equation.

GCF(63547,63551) = 1
LCM(63547,63551) = ( 63547 × 63551) / 1
LCM(63547,63551) = 4038475397 / 1
LCM(63547,63551) = 4038475397

Least Common Multiple (LCM) of 63547 and 63551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63547 and 63551. First we will calculate the prime factors of 63547 and 63551.

Prime Factorization of 63547

Prime Factorization of 63551

Now multiplying the highest exponent prime factors to calculate the LCM of 63547 and 63551.

LCM(63547,63551) = 11¹ × 53¹ × 109¹ × 103¹ × 617¹
LCM(63547,63551) = 4038475397