What is the Least Common Multiple of 35546 and 35553?

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 35546 and 35553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35546 and 35553, than apply into the LCM equation.

GCF(35546,35553) = 7
LCM(35546,35553) = ( 35546 × 35553) / 7
LCM(35546,35553) = 1263766938 / 7
LCM(35546,35553) = 180538134

Least Common Multiple (LCM) of 35546 and 35553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35546 and 35553. First we will calculate the prime factors of 35546 and 35553.

Prime Factorization of 35546

Prime Factorization of 35553

Now multiplying the highest exponent prime factors to calculate the LCM of 35546 and 35553.

LCM(35546,35553) = 2¹ × 7¹ × 2539¹ × 3¹ × 1693¹
LCM(35546,35553) = 180538134