What is the Least Common Multiple of 35385 and 35402?

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 35385 and 35402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35385 and 35402, than apply into the LCM equation.

GCF(35385,35402) = 1
LCM(35385,35402) = ( 35385 × 35402) / 1
LCM(35385,35402) = 1252699770 / 1
LCM(35385,35402) = 1252699770

Least Common Multiple (LCM) of 35385 and 35402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35385 and 35402. First we will calculate the prime factors of 35385 and 35402.

Prime Factorization of 35385

Prime Factorization of 35402

Now multiplying the highest exponent prime factors to calculate the LCM of 35385 and 35402.

LCM(35385,35402) = 3¹ × 5¹ × 7¹ × 337¹ × 2¹ × 31¹ × 571¹
LCM(35385,35402) = 1252699770