What is the Least Common Multiple of 35154 and 35174?

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 35174 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 35174, than apply into the LCM equation.

GCF(35154,35174) = 2
LCM(35154,35174) = ( 35154 × 35174) / 2
LCM(35154,35174) = 1236506796 / 2
LCM(35154,35174) = 618253398

Least Common Multiple (LCM) of 35154 and 35174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35154 and 35174. First we will calculate the prime factors of 35154 and 35174.

Prime Factorization of 35154

Prime Factorization of 35174

Now multiplying the highest exponent prime factors to calculate the LCM of 35154 and 35174.

LCM(35154,35174) = 2¹ × 3⁴ × 7¹ × 31¹ × 43¹ × 409¹
LCM(35154,35174) = 618253398