What is the Least Common Multiple of 63423 and 63435?

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 63423 and 63435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63423 and 63435, than apply into the LCM equation.

GCF(63423,63435) = 3
LCM(63423,63435) = ( 63423 × 63435) / 3
LCM(63423,63435) = 4023238005 / 3
LCM(63423,63435) = 1341079335

Least Common Multiple (LCM) of 63423 and 63435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63423 and 63435. First we will calculate the prime factors of 63423 and 63435.

Prime Factorization of 63423

Prime Factorization of 63435

Now multiplying the highest exponent prime factors to calculate the LCM of 63423 and 63435.

LCM(63423,63435) = 3⁷ × 29¹ × 5¹ × 4229¹
LCM(63423,63435) = 1341079335