What is the Least Common Multiple of 71419 and 71434?

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 71419 and 71434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71419 and 71434, than apply into the LCM equation.

GCF(71419,71434) = 1
LCM(71419,71434) = ( 71419 × 71434) / 1
LCM(71419,71434) = 5101744846 / 1
LCM(71419,71434) = 5101744846

Least Common Multiple (LCM) of 71419 and 71434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71419 and 71434. First we will calculate the prime factors of 71419 and 71434.

Prime Factorization of 71419

Prime Factorization of 71434

Now multiplying the highest exponent prime factors to calculate the LCM of 71419 and 71434.

LCM(71419,71434) = 71419¹ × 2¹ × 11¹ × 17¹ × 191¹
LCM(71419,71434) = 5101744846