What is the Least Common Multiple of 35542 and 35562?

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 35542 and 35562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35542 and 35562, than apply into the LCM equation.

GCF(35542,35562) = 2
LCM(35542,35562) = ( 35542 × 35562) / 2
LCM(35542,35562) = 1263944604 / 2
LCM(35542,35562) = 631972302

Least Common Multiple (LCM) of 35542 and 35562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35542 and 35562. First we will calculate the prime factors of 35542 and 35562.

Prime Factorization of 35542

Prime Factorization of 35562

Now multiplying the highest exponent prime factors to calculate the LCM of 35542 and 35562.

LCM(35542,35562) = 2¹ × 13¹ × 1367¹ × 3¹ × 5927¹
LCM(35542,35562) = 631972302