What is the Least Common Multiple of 46953 and 46968?

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 46953 and 46968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46953 and 46968, than apply into the LCM equation.

GCF(46953,46968) = 3
LCM(46953,46968) = ( 46953 × 46968) / 3
LCM(46953,46968) = 2205288504 / 3
LCM(46953,46968) = 735096168

Least Common Multiple (LCM) of 46953 and 46968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46953 and 46968. First we will calculate the prime factors of 46953 and 46968.

Prime Factorization of 46953

Prime Factorization of 46968

Now multiplying the highest exponent prime factors to calculate the LCM of 46953 and 46968.

LCM(46953,46968) = 3³ × 37¹ × 47¹ × 2³ × 19¹ × 103¹
LCM(46953,46968) = 735096168