What is the Least Common Multiple of 20978 and 20995?

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 20978 and 20995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20978 and 20995, than apply into the LCM equation.

GCF(20978,20995) = 17
LCM(20978,20995) = ( 20978 × 20995) / 17
LCM(20978,20995) = 440433110 / 17
LCM(20978,20995) = 25907830

Least Common Multiple (LCM) of 20978 and 20995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20978 and 20995. First we will calculate the prime factors of 20978 and 20995.

Prime Factorization of 20978

Prime Factorization of 20995

Now multiplying the highest exponent prime factors to calculate the LCM of 20978 and 20995.

LCM(20978,20995) = 2¹ × 17¹ × 617¹ × 5¹ × 13¹ × 19¹
LCM(20978,20995) = 25907830