What is the Least Common Multiple of 74538 and 74542?

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 74538 and 74542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74538 and 74542, than apply into the LCM equation.

GCF(74538,74542) = 2
LCM(74538,74542) = ( 74538 × 74542) / 2
LCM(74538,74542) = 5556211596 / 2
LCM(74538,74542) = 2778105798

Least Common Multiple (LCM) of 74538 and 74542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74538 and 74542. First we will calculate the prime factors of 74538 and 74542.

Prime Factorization of 74538

Prime Factorization of 74542

Now multiplying the highest exponent prime factors to calculate the LCM of 74538 and 74542.

LCM(74538,74542) = 2¹ × 3² × 41¹ × 101¹ × 13¹ × 47¹ × 61¹
LCM(74538,74542) = 2778105798