What is the Least Common Multiple of 35749 and 35755?

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 35749 and 35755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35749 and 35755, than apply into the LCM equation.

GCF(35749,35755) = 1
LCM(35749,35755) = ( 35749 × 35755) / 1
LCM(35749,35755) = 1278205495 / 1
LCM(35749,35755) = 1278205495

Least Common Multiple (LCM) of 35749 and 35755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35749 and 35755. First we will calculate the prime factors of 35749 and 35755.

Prime Factorization of 35749

Prime Factorization of 35755

Now multiplying the highest exponent prime factors to calculate the LCM of 35749 and 35755.

LCM(35749,35755) = 7¹ × 5107¹ × 5¹ × 7151¹
LCM(35749,35755) = 1278205495