What is the Least Common Multiple of 72285 and 72295?

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 72285 and 72295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72285 and 72295, than apply into the LCM equation.

GCF(72285,72295) = 5
LCM(72285,72295) = ( 72285 × 72295) / 5
LCM(72285,72295) = 5225844075 / 5
LCM(72285,72295) = 1045168815

Least Common Multiple (LCM) of 72285 and 72295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72285 and 72295. First we will calculate the prime factors of 72285 and 72295.

Prime Factorization of 72285

Prime Factorization of 72295

Now multiplying the highest exponent prime factors to calculate the LCM of 72285 and 72295.

LCM(72285,72295) = 3¹ × 5¹ × 61¹ × 79¹ × 19¹ × 761¹
LCM(72285,72295) = 1045168815