What is the Least Common Multiple of 33534 and 33542?

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 33534 and 33542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33534 and 33542, than apply into the LCM equation.

GCF(33534,33542) = 2
LCM(33534,33542) = ( 33534 × 33542) / 2
LCM(33534,33542) = 1124797428 / 2
LCM(33534,33542) = 562398714

Least Common Multiple (LCM) of 33534 and 33542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33534 and 33542. First we will calculate the prime factors of 33534 and 33542.

Prime Factorization of 33534

Prime Factorization of 33542

Now multiplying the highest exponent prime factors to calculate the LCM of 33534 and 33542.

LCM(33534,33542) = 2¹ × 3⁶ × 23¹ × 31¹ × 541¹
LCM(33534,33542) = 562398714