What is the Least Common Multiple of 63614 and 63624?

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 63614 and 63624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63614 and 63624, than apply into the LCM equation.

GCF(63614,63624) = 2
LCM(63614,63624) = ( 63614 × 63624) / 2
LCM(63614,63624) = 4047377136 / 2
LCM(63614,63624) = 2023688568

Least Common Multiple (LCM) of 63614 and 63624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63614 and 63624. First we will calculate the prime factors of 63614 and 63624.

Prime Factorization of 63614

Prime Factorization of 63624

Now multiplying the highest exponent prime factors to calculate the LCM of 63614 and 63624.

LCM(63614,63624) = 2³ × 17¹ × 1871¹ × 3¹ × 11¹ × 241¹
LCM(63614,63624) = 2023688568