What is the Least Common Multiple of 87290 and 87295?

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 87290 and 87295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87290 and 87295, than apply into the LCM equation.

GCF(87290,87295) = 5
LCM(87290,87295) = ( 87290 × 87295) / 5
LCM(87290,87295) = 7619980550 / 5
LCM(87290,87295) = 1523996110

Least Common Multiple (LCM) of 87290 and 87295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87290 and 87295. First we will calculate the prime factors of 87290 and 87295.

Prime Factorization of 87290

Prime Factorization of 87295

Now multiplying the highest exponent prime factors to calculate the LCM of 87290 and 87295.

LCM(87290,87295) = 2¹ × 5¹ × 7¹ × 29¹ × 43¹ × 13¹ × 17¹ × 79¹
LCM(87290,87295) = 1523996110