What is the Least Common Multiple of 35648 and 35662?

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 35648 and 35662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35648 and 35662, than apply into the LCM equation.

GCF(35648,35662) = 2
LCM(35648,35662) = ( 35648 × 35662) / 2
LCM(35648,35662) = 1271278976 / 2
LCM(35648,35662) = 635639488

Least Common Multiple (LCM) of 35648 and 35662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35648 and 35662. First we will calculate the prime factors of 35648 and 35662.

Prime Factorization of 35648

Prime Factorization of 35662

Now multiplying the highest exponent prime factors to calculate the LCM of 35648 and 35662.

LCM(35648,35662) = 2⁶ × 557¹ × 11¹ × 1621¹
LCM(35648,35662) = 635639488