What is the Least Common Multiple of 46977 and 46995?

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 46977 and 46995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46977 and 46995, than apply into the LCM equation.

GCF(46977,46995) = 3
LCM(46977,46995) = ( 46977 × 46995) / 3
LCM(46977,46995) = 2207684115 / 3
LCM(46977,46995) = 735894705

Least Common Multiple (LCM) of 46977 and 46995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46977 and 46995. First we will calculate the prime factors of 46977 and 46995.

Prime Factorization of 46977

Prime Factorization of 46995

Now multiplying the highest exponent prime factors to calculate the LCM of 46977 and 46995.

LCM(46977,46995) = 3¹ × 7¹ × 2237¹ × 5¹ × 13¹ × 241¹
LCM(46977,46995) = 735894705