What is the Least Common Multiple of 46466 and 46480?

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 46466 and 46480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46466 and 46480, than apply into the LCM equation.

GCF(46466,46480) = 14
LCM(46466,46480) = ( 46466 × 46480) / 14
LCM(46466,46480) = 2159739680 / 14
LCM(46466,46480) = 154267120

Least Common Multiple (LCM) of 46466 and 46480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46466 and 46480. First we will calculate the prime factors of 46466 and 46480.

Prime Factorization of 46466

Prime Factorization of 46480

Now multiplying the highest exponent prime factors to calculate the LCM of 46466 and 46480.

LCM(46466,46480) = 2⁴ × 7¹ × 3319¹ × 5¹ × 83¹
LCM(46466,46480) = 154267120