What is the Least Common Multiple of 75542 and 75548?

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 75542 and 75548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75542 and 75548, than apply into the LCM equation.

GCF(75542,75548) = 2
LCM(75542,75548) = ( 75542 × 75548) / 2
LCM(75542,75548) = 5707047016 / 2
LCM(75542,75548) = 2853523508

Least Common Multiple (LCM) of 75542 and 75548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75542 and 75548. First we will calculate the prime factors of 75542 and 75548.

Prime Factorization of 75542

Prime Factorization of 75548

Now multiplying the highest exponent prime factors to calculate the LCM of 75542 and 75548.

LCM(75542,75548) = 2² × 107¹ × 353¹ × 11¹ × 17¹ × 101¹
LCM(75542,75548) = 2853523508