What is the Least Common Multiple of 71444 and 71462?

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 71444 and 71462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71444 and 71462, than apply into the LCM equation.

GCF(71444,71462) = 2
LCM(71444,71462) = ( 71444 × 71462) / 2
LCM(71444,71462) = 5105531128 / 2
LCM(71444,71462) = 2552765564

Least Common Multiple (LCM) of 71444 and 71462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71444 and 71462. First we will calculate the prime factors of 71444 and 71462.

Prime Factorization of 71444

Prime Factorization of 71462

Now multiplying the highest exponent prime factors to calculate the LCM of 71444 and 71462.

LCM(71444,71462) = 2² × 53¹ × 337¹ × 35731¹
LCM(71444,71462) = 2552765564