What is the Least Common Multiple of 74109 and 74124?

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 74109 and 74124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74109 and 74124, than apply into the LCM equation.

GCF(74109,74124) = 3
LCM(74109,74124) = ( 74109 × 74124) / 3
LCM(74109,74124) = 5493255516 / 3
LCM(74109,74124) = 1831085172

Least Common Multiple (LCM) of 74109 and 74124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74109 and 74124. First we will calculate the prime factors of 74109 and 74124.

Prime Factorization of 74109

Prime Factorization of 74124

Now multiplying the highest exponent prime factors to calculate the LCM of 74109 and 74124.

LCM(74109,74124) = 3² × 7¹ × 3529¹ × 2² × 29¹ × 71¹
LCM(74109,74124) = 1831085172