What is the Least Common Multiple of 71414 and 71421?

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 71414 and 71421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71414 and 71421, than apply into the LCM equation.

GCF(71414,71421) = 7
LCM(71414,71421) = ( 71414 × 71421) / 7
LCM(71414,71421) = 5100459294 / 7
LCM(71414,71421) = 728637042

Least Common Multiple (LCM) of 71414 and 71421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71414 and 71421. First we will calculate the prime factors of 71414 and 71421.

Prime Factorization of 71414

Prime Factorization of 71421

Now multiplying the highest exponent prime factors to calculate the LCM of 71414 and 71421.

LCM(71414,71421) = 2¹ × 7¹ × 5101¹ × 3¹ × 19¹ × 179¹
LCM(71414,71421) = 728637042