What is the Least Common Multiple of 46090 and 46106?

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 46090 and 46106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46090 and 46106, than apply into the LCM equation.

GCF(46090,46106) = 2
LCM(46090,46106) = ( 46090 × 46106) / 2
LCM(46090,46106) = 2125025540 / 2
LCM(46090,46106) = 1062512770

Least Common Multiple (LCM) of 46090 and 46106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46090 and 46106. First we will calculate the prime factors of 46090 and 46106.

Prime Factorization of 46090

Prime Factorization of 46106

Now multiplying the highest exponent prime factors to calculate the LCM of 46090 and 46106.

LCM(46090,46106) = 2¹ × 5¹ × 11¹ × 419¹ × 23053¹
LCM(46090,46106) = 1062512770