What is the Least Common Multiple of 29980 and 29995?

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 29980 and 29995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29980 and 29995, than apply into the LCM equation.

GCF(29980,29995) = 5
LCM(29980,29995) = ( 29980 × 29995) / 5
LCM(29980,29995) = 899250100 / 5
LCM(29980,29995) = 179850020

Least Common Multiple (LCM) of 29980 and 29995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29980 and 29995. First we will calculate the prime factors of 29980 and 29995.

Prime Factorization of 29980

Prime Factorization of 29995

Now multiplying the highest exponent prime factors to calculate the LCM of 29980 and 29995.

LCM(29980,29995) = 2² × 5¹ × 1499¹ × 7¹ × 857¹
LCM(29980,29995) = 179850020