What is the Least Common Multiple of 35204 and 35215?

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 35204 and 35215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35204 and 35215, than apply into the LCM equation.

GCF(35204,35215) = 1
LCM(35204,35215) = ( 35204 × 35215) / 1
LCM(35204,35215) = 1239708860 / 1
LCM(35204,35215) = 1239708860

Least Common Multiple (LCM) of 35204 and 35215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35204 and 35215. First we will calculate the prime factors of 35204 and 35215.

Prime Factorization of 35204

Prime Factorization of 35215

Now multiplying the highest exponent prime factors to calculate the LCM of 35204 and 35215.

LCM(35204,35215) = 2² × 13¹ × 677¹ × 5¹ × 7043¹
LCM(35204,35215) = 1239708860