What is the Least Common Multiple of 3534 and 3541?

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 3534 and 3541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3534 and 3541, than apply into the LCM equation.

GCF(3534,3541) = 1
LCM(3534,3541) = ( 3534 × 3541) / 1
LCM(3534,3541) = 12513894 / 1
LCM(3534,3541) = 12513894

Least Common Multiple (LCM) of 3534 and 3541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3534 and 3541. First we will calculate the prime factors of 3534 and 3541.

Prime Factorization of 3534

Prime Factorization of 3541

Now multiplying the highest exponent prime factors to calculate the LCM of 3534 and 3541.

LCM(3534,3541) = 2¹ × 3¹ × 19¹ × 31¹ × 3541¹
LCM(3534,3541) = 12513894