What is the Least Common Multiple of 35642 and 35648?

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 35642 and 35648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35642 and 35648, than apply into the LCM equation.

GCF(35642,35648) = 2
LCM(35642,35648) = ( 35642 × 35648) / 2
LCM(35642,35648) = 1270566016 / 2
LCM(35642,35648) = 635283008

Least Common Multiple (LCM) of 35642 and 35648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35642 and 35648. First we will calculate the prime factors of 35642 and 35648.

Prime Factorization of 35642

Prime Factorization of 35648

Now multiplying the highest exponent prime factors to calculate the LCM of 35642 and 35648.

LCM(35642,35648) = 2⁶ × 71¹ × 251¹ × 557¹
LCM(35642,35648) = 635283008