What is the Least Common Multiple of 35154 and 35163?

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 35154 and 35163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35154 and 35163, than apply into the LCM equation.

GCF(35154,35163) = 9
LCM(35154,35163) = ( 35154 × 35163) / 9
LCM(35154,35163) = 1236120102 / 9
LCM(35154,35163) = 137346678

Least Common Multiple (LCM) of 35154 and 35163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35154 and 35163. First we will calculate the prime factors of 35154 and 35163.

Prime Factorization of 35154

Prime Factorization of 35163

Now multiplying the highest exponent prime factors to calculate the LCM of 35154 and 35163.

LCM(35154,35163) = 2¹ × 3⁴ × 7¹ × 31¹ × 3907¹
LCM(35154,35163) = 137346678