What is the Least Common Multiple of 46614 and 46625?

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 46614 and 46625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46614 and 46625, than apply into the LCM equation.

GCF(46614,46625) = 1
LCM(46614,46625) = ( 46614 × 46625) / 1
LCM(46614,46625) = 2173377750 / 1
LCM(46614,46625) = 2173377750

Least Common Multiple (LCM) of 46614 and 46625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46614 and 46625. First we will calculate the prime factors of 46614 and 46625.

Prime Factorization of 46614

Prime Factorization of 46625

Now multiplying the highest exponent prime factors to calculate the LCM of 46614 and 46625.

LCM(46614,46625) = 2¹ × 3¹ × 17¹ × 457¹ × 5³ × 373¹
LCM(46614,46625) = 2173377750