What is the Least Common Multiple of 71450 and 71455?

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 71450 and 71455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71450 and 71455, than apply into the LCM equation.

GCF(71450,71455) = 5
LCM(71450,71455) = ( 71450 × 71455) / 5
LCM(71450,71455) = 5105459750 / 5
LCM(71450,71455) = 1021091950

Least Common Multiple (LCM) of 71450 and 71455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71450 and 71455. First we will calculate the prime factors of 71450 and 71455.

Prime Factorization of 71450

Prime Factorization of 71455

Now multiplying the highest exponent prime factors to calculate the LCM of 71450 and 71455.

LCM(71450,71455) = 2¹ × 5² × 1429¹ × 31¹ × 461¹
LCM(71450,71455) = 1021091950