What is the Least Common Multiple of 71094 and 71102?

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 71094 and 71102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71094 and 71102, than apply into the LCM equation.

GCF(71094,71102) = 2
LCM(71094,71102) = ( 71094 × 71102) / 2
LCM(71094,71102) = 5054925588 / 2
LCM(71094,71102) = 2527462794

Least Common Multiple (LCM) of 71094 and 71102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71094 and 71102. First we will calculate the prime factors of 71094 and 71102.

Prime Factorization of 71094

Prime Factorization of 71102

Now multiplying the highest exponent prime factors to calculate the LCM of 71094 and 71102.

LCM(71094,71102) = 2¹ × 3¹ × 17² × 41¹ × 73¹ × 487¹
LCM(71094,71102) = 2527462794