What is the Least Common Multiple of 71240 and 71245?

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 71240 and 71245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71240 and 71245, than apply into the LCM equation.

GCF(71240,71245) = 5
LCM(71240,71245) = ( 71240 × 71245) / 5
LCM(71240,71245) = 5075493800 / 5
LCM(71240,71245) = 1015098760

Least Common Multiple (LCM) of 71240 and 71245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71240 and 71245. First we will calculate the prime factors of 71240 and 71245.

Prime Factorization of 71240

Prime Factorization of 71245

Now multiplying the highest exponent prime factors to calculate the LCM of 71240 and 71245.

LCM(71240,71245) = 2³ × 5¹ × 13¹ × 137¹ × 14249¹
LCM(71240,71245) = 1015098760