What is the Least Common Multiple of 65985 and 65995?

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 65985 and 65995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65985 and 65995, than apply into the LCM equation.

GCF(65985,65995) = 5
LCM(65985,65995) = ( 65985 × 65995) / 5
LCM(65985,65995) = 4354680075 / 5
LCM(65985,65995) = 870936015

Least Common Multiple (LCM) of 65985 and 65995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65985 and 65995. First we will calculate the prime factors of 65985 and 65995.

Prime Factorization of 65985

Prime Factorization of 65995

Now multiplying the highest exponent prime factors to calculate the LCM of 65985 and 65995.

LCM(65985,65995) = 3¹ × 5¹ × 53¹ × 83¹ × 67¹ × 197¹
LCM(65985,65995) = 870936015