What is the Least Common Multiple of 35653 and 35667?

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 35653 and 35667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35653 and 35667, than apply into the LCM equation.

GCF(35653,35667) = 1
LCM(35653,35667) = ( 35653 × 35667) / 1
LCM(35653,35667) = 1271635551 / 1
LCM(35653,35667) = 1271635551

Least Common Multiple (LCM) of 35653 and 35667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35653 and 35667. First we will calculate the prime factors of 35653 and 35667.

Prime Factorization of 35653

Prime Factorization of 35667

Now multiplying the highest exponent prime factors to calculate the LCM of 35653 and 35667.

LCM(35653,35667) = 101¹ × 353¹ × 3³ × 1321¹
LCM(35653,35667) = 1271635551