What is the Least Common Multiple of 71226 and 71235?

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 71226 and 71235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71226 and 71235, than apply into the LCM equation.

GCF(71226,71235) = 9
LCM(71226,71235) = ( 71226 × 71235) / 9
LCM(71226,71235) = 5073784110 / 9
LCM(71226,71235) = 563753790

Least Common Multiple (LCM) of 71226 and 71235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71226 and 71235. First we will calculate the prime factors of 71226 and 71235.

Prime Factorization of 71226

Prime Factorization of 71235

Now multiplying the highest exponent prime factors to calculate the LCM of 71226 and 71235.

LCM(71226,71235) = 2¹ × 3³ × 1319¹ × 5¹ × 1583¹
LCM(71226,71235) = 563753790