What is the Least Common Multiple of 71090 and 71103?

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 71090 and 71103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71090 and 71103, than apply into the LCM equation.

GCF(71090,71103) = 1
LCM(71090,71103) = ( 71090 × 71103) / 1
LCM(71090,71103) = 5054712270 / 1
LCM(71090,71103) = 5054712270

Least Common Multiple (LCM) of 71090 and 71103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71090 and 71103. First we will calculate the prime factors of 71090 and 71103.

Prime Factorization of 71090

Prime Factorization of 71103

Now multiplying the highest exponent prime factors to calculate the LCM of 71090 and 71103.

LCM(71090,71103) = 2¹ × 5¹ × 7109¹ × 3¹ × 137¹ × 173¹
LCM(71090,71103) = 5054712270