What is the Least Common Multiple of 46106 and 46126?

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 46106 and 46126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46106 and 46126, than apply into the LCM equation.

GCF(46106,46126) = 2
LCM(46106,46126) = ( 46106 × 46126) / 2
LCM(46106,46126) = 2126685356 / 2
LCM(46106,46126) = 1063342678

Least Common Multiple (LCM) of 46106 and 46126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46106 and 46126. First we will calculate the prime factors of 46106 and 46126.

Prime Factorization of 46106

Prime Factorization of 46126

Now multiplying the highest exponent prime factors to calculate the LCM of 46106 and 46126.

LCM(46106,46126) = 2¹ × 23053¹ × 23063¹
LCM(46106,46126) = 1063342678