What is the Least Common Multiple of 35148 and 35162?

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 35148 and 35162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35148 and 35162, than apply into the LCM equation.

GCF(35148,35162) = 2
LCM(35148,35162) = ( 35148 × 35162) / 2
LCM(35148,35162) = 1235873976 / 2
LCM(35148,35162) = 617936988

Least Common Multiple (LCM) of 35148 and 35162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35148 and 35162. First we will calculate the prime factors of 35148 and 35162.

Prime Factorization of 35148

Prime Factorization of 35162

Now multiplying the highest exponent prime factors to calculate the LCM of 35148 and 35162.

LCM(35148,35162) = 2² × 3¹ × 29¹ × 101¹ × 17581¹
LCM(35148,35162) = 617936988