What is the Least Common Multiple of 80988 and 80995?

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 80988 and 80995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80988 and 80995, than apply into the LCM equation.

GCF(80988,80995) = 1
LCM(80988,80995) = ( 80988 × 80995) / 1
LCM(80988,80995) = 6559623060 / 1
LCM(80988,80995) = 6559623060

Least Common Multiple (LCM) of 80988 and 80995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80988 and 80995. First we will calculate the prime factors of 80988 and 80995.

Prime Factorization of 80988

Prime Factorization of 80995

Now multiplying the highest exponent prime factors to calculate the LCM of 80988 and 80995.

LCM(80988,80995) = 2² × 3¹ × 17¹ × 397¹ × 5¹ × 97¹ × 167¹
LCM(80988,80995) = 6559623060