What is the Least Common Multiple of 88990 and 88995?

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 88990 and 88995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88990 and 88995, than apply into the LCM equation.

GCF(88990,88995) = 5
LCM(88990,88995) = ( 88990 × 88995) / 5
LCM(88990,88995) = 7919665050 / 5
LCM(88990,88995) = 1583933010

Least Common Multiple (LCM) of 88990 and 88995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88990 and 88995. First we will calculate the prime factors of 88990 and 88995.

Prime Factorization of 88990

Prime Factorization of 88995

Now multiplying the highest exponent prime factors to calculate the LCM of 88990 and 88995.

LCM(88990,88995) = 2¹ × 5¹ × 11¹ × 809¹ × 3¹ × 17¹ × 349¹
LCM(88990,88995) = 1583933010