What is the Least Common Multiple of 35453 and 35473?

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 35453 and 35473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35453 and 35473, than apply into the LCM equation.

GCF(35453,35473) = 1
LCM(35453,35473) = ( 35453 × 35473) / 1
LCM(35453,35473) = 1257624269 / 1
LCM(35453,35473) = 1257624269

Least Common Multiple (LCM) of 35453 and 35473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35453 and 35473. First we will calculate the prime factors of 35453 and 35473.

Prime Factorization of 35453

Prime Factorization of 35473

Now multiplying the highest exponent prime factors to calculate the LCM of 35453 and 35473.

LCM(35453,35473) = 11² × 293¹ × 19¹ × 1867¹
LCM(35453,35473) = 1257624269