What is the Least Common Multiple of 71130 and 71135?

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 71130 and 71135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71130 and 71135, than apply into the LCM equation.

GCF(71130,71135) = 5
LCM(71130,71135) = ( 71130 × 71135) / 5
LCM(71130,71135) = 5059832550 / 5
LCM(71130,71135) = 1011966510

Least Common Multiple (LCM) of 71130 and 71135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71130 and 71135. First we will calculate the prime factors of 71130 and 71135.

Prime Factorization of 71130

Prime Factorization of 71135

Now multiplying the highest exponent prime factors to calculate the LCM of 71130 and 71135.

LCM(71130,71135) = 2¹ × 3¹ × 5¹ × 2371¹ × 41¹ × 347¹
LCM(71130,71135) = 1011966510