What is the Least Common Multiple of 57536 and 57542?

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 57536 and 57542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57536 and 57542, than apply into the LCM equation.

GCF(57536,57542) = 2
LCM(57536,57542) = ( 57536 × 57542) / 2
LCM(57536,57542) = 3310736512 / 2
LCM(57536,57542) = 1655368256

Least Common Multiple (LCM) of 57536 and 57542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57536 and 57542. First we will calculate the prime factors of 57536 and 57542.

Prime Factorization of 57536

Prime Factorization of 57542

Now multiplying the highest exponent prime factors to calculate the LCM of 57536 and 57542.

LCM(57536,57542) = 2⁶ × 29¹ × 31¹ × 28771¹
LCM(57536,57542) = 1655368256