What is the Least Common Multiple of 63105 and 63123?

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 63105 and 63123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63105 and 63123, than apply into the LCM equation.

GCF(63105,63123) = 3
LCM(63105,63123) = ( 63105 × 63123) / 3
LCM(63105,63123) = 3983376915 / 3
LCM(63105,63123) = 1327792305

Least Common Multiple (LCM) of 63105 and 63123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63105 and 63123. First we will calculate the prime factors of 63105 and 63123.

Prime Factorization of 63105

Prime Factorization of 63123

Now multiplying the highest exponent prime factors to calculate the LCM of 63105 and 63123.

LCM(63105,63123) = 3¹ × 5¹ × 7¹ × 601¹ × 53¹ × 397¹
LCM(63105,63123) = 1327792305