What is the Least Common Multiple of 49980 and 49995?

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 49980 and 49995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49980 and 49995, than apply into the LCM equation.

GCF(49980,49995) = 15
LCM(49980,49995) = ( 49980 × 49995) / 15
LCM(49980,49995) = 2498750100 / 15
LCM(49980,49995) = 166583340

Least Common Multiple (LCM) of 49980 and 49995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49980 and 49995. First we will calculate the prime factors of 49980 and 49995.

Prime Factorization of 49980

Prime Factorization of 49995

Now multiplying the highest exponent prime factors to calculate the LCM of 49980 and 49995.

LCM(49980,49995) = 2² × 3² × 5¹ × 7² × 17¹ × 11¹ × 101¹
LCM(49980,49995) = 166583340