What is the Least Common Multiple of 3520 and 3534?

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 3520 and 3534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3520 and 3534, than apply into the LCM equation.

GCF(3520,3534) = 2
LCM(3520,3534) = ( 3520 × 3534) / 2
LCM(3520,3534) = 12439680 / 2
LCM(3520,3534) = 6219840

Least Common Multiple (LCM) of 3520 and 3534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3520 and 3534. First we will calculate the prime factors of 3520 and 3534.

Prime Factorization of 3520

Prime Factorization of 3534

Now multiplying the highest exponent prime factors to calculate the LCM of 3520 and 3534.

LCM(3520,3534) = 2⁶ × 5¹ × 11¹ × 3¹ × 19¹ × 31¹
LCM(3520,3534) = 6219840