What is the Least Common Multiple of 63475 and 63492?

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 63475 and 63492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63475 and 63492, than apply into the LCM equation.

GCF(63475,63492) = 1
LCM(63475,63492) = ( 63475 × 63492) / 1
LCM(63475,63492) = 4030154700 / 1
LCM(63475,63492) = 4030154700

Least Common Multiple (LCM) of 63475 and 63492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63475 and 63492. First we will calculate the prime factors of 63475 and 63492.

Prime Factorization of 63475

Prime Factorization of 63492

Now multiplying the highest exponent prime factors to calculate the LCM of 63475 and 63492.

LCM(63475,63492) = 5² × 2539¹ × 2² × 3¹ × 11¹ × 13¹ × 37¹
LCM(63475,63492) = 4030154700