What is the Least Common Multiple of 71295 and 71309?

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 71295 and 71309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71295 and 71309, than apply into the LCM equation.

GCF(71295,71309) = 7
LCM(71295,71309) = ( 71295 × 71309) / 7
LCM(71295,71309) = 5083975155 / 7
LCM(71295,71309) = 726282165

Least Common Multiple (LCM) of 71295 and 71309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71295 and 71309. First we will calculate the prime factors of 71295 and 71309.

Prime Factorization of 71295

Prime Factorization of 71309

Now multiplying the highest exponent prime factors to calculate the LCM of 71295 and 71309.

LCM(71295,71309) = 3¹ × 5¹ × 7² × 97¹ × 61¹ × 167¹
LCM(71295,71309) = 726282165