What is the Least Common Multiple of 35154 and 35169?

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 35169 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 35169, than apply into the LCM equation.

GCF(35154,35169) = 3
LCM(35154,35169) = ( 35154 × 35169) / 3
LCM(35154,35169) = 1236331026 / 3
LCM(35154,35169) = 412110342

Least Common Multiple (LCM) of 35154 and 35169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35154 and 35169. First we will calculate the prime factors of 35154 and 35169.

Prime Factorization of 35154

Prime Factorization of 35169

Now multiplying the highest exponent prime factors to calculate the LCM of 35154 and 35169.

LCM(35154,35169) = 2¹ × 3⁴ × 7¹ × 31¹ × 19¹ × 617¹
LCM(35154,35169) = 412110342