What is the Least Common Multiple of 63024 and 63028?

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 63024 and 63028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63024 and 63028, than apply into the LCM equation.

GCF(63024,63028) = 4
LCM(63024,63028) = ( 63024 × 63028) / 4
LCM(63024,63028) = 3972276672 / 4
LCM(63024,63028) = 993069168

Least Common Multiple (LCM) of 63024 and 63028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63024 and 63028. First we will calculate the prime factors of 63024 and 63028.

Prime Factorization of 63024

Prime Factorization of 63028

Now multiplying the highest exponent prime factors to calculate the LCM of 63024 and 63028.

LCM(63024,63028) = 2⁴ × 3¹ × 13¹ × 101¹ × 7¹ × 2251¹
LCM(63024,63028) = 993069168