What is the Least Common Multiple of 35648 and 35663?

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 35663 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 35663, than apply into the LCM equation.

GCF(35648,35663) = 1
LCM(35648,35663) = ( 35648 × 35663) / 1
LCM(35648,35663) = 1271314624 / 1
LCM(35648,35663) = 1271314624

Least Common Multiple (LCM) of 35648 and 35663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35648 and 35663. First we will calculate the prime factors of 35648 and 35663.

Prime Factorization of 35648

Prime Factorization of 35663

Now multiplying the highest exponent prime factors to calculate the LCM of 35648 and 35663.

LCM(35648,35663) = 2⁶ × 557¹ × 19¹ × 1877¹
LCM(35648,35663) = 1271314624