What is the Least Common Multiple of 46425 and 46434?

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 46425 and 46434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46425 and 46434, than apply into the LCM equation.

GCF(46425,46434) = 3
LCM(46425,46434) = ( 46425 × 46434) / 3
LCM(46425,46434) = 2155698450 / 3
LCM(46425,46434) = 718566150

Least Common Multiple (LCM) of 46425 and 46434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46425 and 46434. First we will calculate the prime factors of 46425 and 46434.

Prime Factorization of 46425

Prime Factorization of 46434

Now multiplying the highest exponent prime factors to calculate the LCM of 46425 and 46434.

LCM(46425,46434) = 3¹ × 5² × 619¹ × 2¹ × 71¹ × 109¹
LCM(46425,46434) = 718566150