What is the Least Common Multiple of 35538 and 35546?

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 35538 and 35546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35538 and 35546, than apply into the LCM equation.

GCF(35538,35546) = 2
LCM(35538,35546) = ( 35538 × 35546) / 2
LCM(35538,35546) = 1263233748 / 2
LCM(35538,35546) = 631616874

Least Common Multiple (LCM) of 35538 and 35546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35538 and 35546. First we will calculate the prime factors of 35538 and 35546.

Prime Factorization of 35538

Prime Factorization of 35546

Now multiplying the highest exponent prime factors to calculate the LCM of 35538 and 35546.

LCM(35538,35546) = 2¹ × 3¹ × 5923¹ × 7¹ × 2539¹
LCM(35538,35546) = 631616874