What is the Least Common Multiple of 46961 and 46979?

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 46961 and 46979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46961 and 46979, than apply into the LCM equation.

GCF(46961,46979) = 1
LCM(46961,46979) = ( 46961 × 46979) / 1
LCM(46961,46979) = 2206180819 / 1
LCM(46961,46979) = 2206180819

Least Common Multiple (LCM) of 46961 and 46979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46961 and 46979. First we will calculate the prime factors of 46961 and 46979.

Prime Factorization of 46961

Prime Factorization of 46979

Now multiplying the highest exponent prime factors to calculate the LCM of 46961 and 46979.

LCM(46961,46979) = 151¹ × 311¹ × 109¹ × 431¹
LCM(46961,46979) = 2206180819