What is the Least Common Multiple of 74123 and 74141?

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 74123 and 74141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74123 and 74141, than apply into the LCM equation.

GCF(74123,74141) = 1
LCM(74123,74141) = ( 74123 × 74141) / 1
LCM(74123,74141) = 5495553343 / 1
LCM(74123,74141) = 5495553343

Least Common Multiple (LCM) of 74123 and 74141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74123 and 74141. First we will calculate the prime factors of 74123 and 74141.

Prime Factorization of 74123

Prime Factorization of 74141

Now multiplying the highest exponent prime factors to calculate the LCM of 74123 and 74141.

LCM(74123,74141) = 7¹ × 10589¹ × 151¹ × 491¹
LCM(74123,74141) = 5495553343