What is the Least Common Multiple of 71445 and 71450?

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 71445 and 71450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71445 and 71450, than apply into the LCM equation.

GCF(71445,71450) = 5
LCM(71445,71450) = ( 71445 × 71450) / 5
LCM(71445,71450) = 5104745250 / 5
LCM(71445,71450) = 1020949050

Least Common Multiple (LCM) of 71445 and 71450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71445 and 71450. First we will calculate the prime factors of 71445 and 71450.

Prime Factorization of 71445

Prime Factorization of 71450

Now multiplying the highest exponent prime factors to calculate the LCM of 71445 and 71450.

LCM(71445,71450) = 3¹ × 5² × 11¹ × 433¹ × 2¹ × 1429¹
LCM(71445,71450) = 1020949050