What is the Least Common Multiple of 71070 and 71081?

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 71070 and 71081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71070 and 71081, than apply into the LCM equation.

GCF(71070,71081) = 1
LCM(71070,71081) = ( 71070 × 71081) / 1
LCM(71070,71081) = 5051726670 / 1
LCM(71070,71081) = 5051726670

Least Common Multiple (LCM) of 71070 and 71081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71070 and 71081. First we will calculate the prime factors of 71070 and 71081.

Prime Factorization of 71070

Prime Factorization of 71081

Now multiplying the highest exponent prime factors to calculate the LCM of 71070 and 71081.

LCM(71070,71081) = 2¹ × 3¹ × 5¹ × 23¹ × 103¹ × 71081¹
LCM(71070,71081) = 5051726670