What is the Least Common Multiple of 8614 and 8632?

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 8614 and 8632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8614 and 8632, than apply into the LCM equation.

GCF(8614,8632) = 2
LCM(8614,8632) = ( 8614 × 8632) / 2
LCM(8614,8632) = 74356048 / 2
LCM(8614,8632) = 37178024

Least Common Multiple (LCM) of 8614 and 8632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8614 and 8632. First we will calculate the prime factors of 8614 and 8632.

Prime Factorization of 8614

Prime Factorization of 8632

Now multiplying the highest exponent prime factors to calculate the LCM of 8614 and 8632.

LCM(8614,8632) = 2³ × 59¹ × 73¹ × 13¹ × 83¹
LCM(8614,8632) = 37178024