What is the Least Common Multiple of 46949 and 46963?

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 46949 and 46963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46949 and 46963, than apply into the LCM equation.

GCF(46949,46963) = 7
LCM(46949,46963) = ( 46949 × 46963) / 7
LCM(46949,46963) = 2204865887 / 7
LCM(46949,46963) = 314980841

Least Common Multiple (LCM) of 46949 and 46963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46949 and 46963. First we will calculate the prime factors of 46949 and 46963.

Prime Factorization of 46949

Prime Factorization of 46963

Now multiplying the highest exponent prime factors to calculate the LCM of 46949 and 46963.

LCM(46949,46963) = 7¹ × 19¹ × 353¹ × 6709¹
LCM(46949,46963) = 314980841