What is the Least Common Multiple of 63628 and 63642?

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 63628 and 63642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63628 and 63642, than apply into the LCM equation.

GCF(63628,63642) = 2
LCM(63628,63642) = ( 63628 × 63642) / 2
LCM(63628,63642) = 4049413176 / 2
LCM(63628,63642) = 2024706588

Least Common Multiple (LCM) of 63628 and 63642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63628 and 63642. First we will calculate the prime factors of 63628 and 63642.

Prime Factorization of 63628

Prime Factorization of 63642

Now multiplying the highest exponent prime factors to calculate the LCM of 63628 and 63642.

LCM(63628,63642) = 2² × 15907¹ × 3¹ × 10607¹
LCM(63628,63642) = 2024706588